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# How is the least common multiple found?

Updated: 8/31/2023

Wiki User

10y ago

Simple Flowchart1.Get user input numbers (common multiples)

| No | Yes -------Give up

| ========== = |

increase each input number by increments of 1 | Is LCM too high

| |

| |

Do all the numbers have a common multiple? |

| |

|____________________________________________________________No|

|

Yes

|

|List the common multiple

|

|Do another problem?

|

|

| Yes - Go to step 1

|

| No. [EXIT]

Wiki User

13y ago

Wiki User

12y ago

You mean least common multiple right?

TO FIND THE LEAST COMMON FACTOR OF TWO NUMBERS

Step 1) Find the HCF for the two numbers.

For 18 and 30, HCF is 6.

Step 2) Divide that HCF into either number; it doesn't matter which one you choose, so choose the one that's easier to divide.

Choose 18. Divide 18 by 6. Answer = 3.

Step 3) Take that answer and multiply it by the other number.

3 x 30 = 90

Step 4) Celebrate â€¦

â€¦ because the answer you just got is the LCM. It's that easy.

Wiki User

11y ago

Prime factorization.
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM

Wiki User

8y ago

I may be the wrong person to answer this, but I've never found a Venn diagram particularly useful in finding an LCM. It's just a way to display the result after you already know what it is. Put the multiples of one number in the left circle, the multiples of the other number in the right circle. Put the first common multiple in the space where they intersect. But you can list the multiples on any piece of paper and don't need the circles. There are much more efficient ways to achieve this.

Wiki User

13y ago

The least common multiples means the smallest multiple of two numbers so to find a the least common multiple, you find all the multiples, and the smallest in the least common.

Wiki User

10y ago

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCM

Wiki User

10y ago

Prime factorization.Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCM

Wiki User

8y ago

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the highest amount of each factor.

2 x 3 x 5 x 7 = 210, the LCM

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### What is the least common multiple of 14 and 27?

The least common multiple of 14 and 27 is 378

### What careers use the least common multiple?

When adding or subtracting fractions with different denominators their least common multiple must be found in order to carry out the given calculations.

### What is the least common multiple of 13 and 35?

The least common multiple of 35 , 13 = 455The least common multiple of 35 , 13 = 455

### What is the least common multiple of 9 and 34?

The least common multiple of 6 and 34 is 102.

### What is the least common multiple of 78?

There is not a least common multiple of a single number, such as 78, because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. The least common multiple is the smallest multiple that all the numbers being compared have in common. Examples: The least common multiple of 18 and 78 is 234. The least common multiple of 52 and 78 is 156. The least common multiple of 78 and 195 is 390.

Related questions

### The least number that a common multiple is called?

That's known as the least common multiple, or LCM.

### Is the least common multiple of the denominators?

The least common denominator is the least common multiple of the denominators.

### What is the least common multiple of 14 and 27?

The least common multiple of 14 and 27 is 378

### The least number that is a common multiple is called the?

least common multiple

### What is the lcm of 24 and 11?

The Least Common Multiple (LCM) of 11 and 24 is 264. This is found from 11 times 24.

### What careers use the least common multiple?

When adding or subtracting fractions with different denominators their least common multiple must be found in order to carry out the given calculations.

### What is the least common multiple of 15 and 38?

The Least Common Multiple (LCM) for 38 15 is 570.

### What is the least common multiple of 29 and 30?

Least common multiple of 29 and 30 is 870.

### What is the least common multiple of 36?

There is not a least common multiple of a single number, such as 36, because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. The least common multiple is the smallest multiple that all the numbers being compared have in common. Examples: The least common multiple of 27 and 36 is 108. The least common multiple of 32 and 36 is 288. The least common multiple of 36 and 72 is 72.

### What is the least common multiple of 49?

There is not a least common multiple of a single number, such as 49, because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. The least common multiple is the smallest multiple that all the numbers being compared have in common. Examples: The least common multiple of 3 and 49 is 147. The least common multiple of 14 and 49 is 98. The least common multiple of 49 and 196 is 196.

### What is the least common multiple of 7810?

There is not a least common multiple of a single number, such as 7810, because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. The least common multiple is the smallest multiple that all the numbers being compared have in common. Examples: The least common multiple of 3 and 7810 is 23,430. The least common multiple of 220 and 7810 is 15,620. The least common multiple of 355 and 7810 is 7810.

### What is the least common multiple of 1525?

There is not a least common multiple of a single number, such as 1525, because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. The least common multiple is the smallest multiple that all the numbers being compared have in common. Examples: The least common multiple of 2 and 1525 is 3050. The least common multiple of 61 and 1525 is 1525. The least common multiple of 75 and 1525 is 4575.