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# How can the LCM be equal to the greatest number in the set?

Updated: 9/20/2023

Wiki User

12y ago

If the other numbers are all factors of the greatest number, then that number will be the LCM. Example:

2, 4 & 8: both 2 and 4 are factors of 8, so 8 is the LCM.

2, 3 and 12: same thing, both 2 & 3 are factors of 12.

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12y ago

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Q: How can the LCM be equal to the greatest number in the set?
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### Is the LCM of a pair of number ever less than both nubers Explain with an example?

No. A multiple cannot be less than the number it is compared to. An LCM can never be less than the greatest number in the set.

### Is the LCM of a pair of numbers ever less than both numbers explain with an example?

The LCM is never less than the greatest number in the set. The LCM of 4 and 9 is 36.

### Greatest common factor and least common multiple?

The greatest common factor, or GCF, is the largest number that will divide into all the members of a given set of numbers evenly. The least common multiple, or LCM, is the smallest number that all the members of a given set will divide into evenly. Example: 30 and 42 The GCF is 6. The LCM is 210.

### What is the greatest common multiple of 21 and 44?

There is really so such thing as a "greatest common multiple." Once you find the least common multiple (LCM) of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.

### What numbers have 90 as a greatest common multiple?

There is really no such thing as a "greatest common multiple". Once you find the least common multiple (LCM) of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.

### How are greatest common factor and least common multiple different?

The greatest common factor, or GCF, is the largest number that can go into a set of given numbers evenly. The least common multiple, or LCM, is the smallest number that a given set of numbers can go into evenly.

### Median of the set of numbers?

the number that is in the middle , it holds the equal distance from the greatest number and the least number EX : set: [1,5,2,6,4] then : [1,2,4,5,6] then the median is 4 because it is 2 values away form the greatest number which is 6 and the least number 1

### What is the differentiate of GCF and LCM?

The greatest common factor, or GCF, is the largest number that can divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest number that all the members of a given set of numbers can divide into evenly with no remainder.

### Why could the GCF and LCM of a set of numbers be considered a oxymoron?

The greatest common factor is the greatest number that fits evenly into all of the numbers. The least common multiple is the smallest number that is divisible by all of the numbers in the set. they are kind of like opposites of one another.

### What is the difference between a greatest common factor and a least common multiple?

The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. The least common factor of any set of integers is 1.

### Is this true that the LCM of a set of numbers is equal to one of the numbers and the set?

It can be but it is not always true.