| No | Yes -------Give up
| ========== = |
increase each input number by increments of 1 | Is LCM too high
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Do all the numbers have a common multiple? |
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|____________________________________________________________No|
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Yes
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|List the common multiple
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|Do another problem?
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| Yes - Go to step 1
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| No. [EXIT]
Chat with our AI personalities
You mean least common multiple right?
TO FIND THE LEAST COMMON FACTOR OF TWO NUMBERSStep 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 …
… because the answer you just got is the LCM. It's that easy.
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
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.
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.
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
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
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
The least common multiple of 14 and 27 is 378
The least common multiple of 6 and 34 is 102.
The least common multiple of 35 , 13 = 455The least common multiple of 35 , 13 = 455
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.
When adding or subtracting fractions with different denominators their least common multiple must be found in order to carry out the given calculations.