What is the common denominator of 3 4 and 5?; What is the common denominator of 3 5?; Do 3 and 4 have a common denominator?; What is the least common denominator of 3 4 and 5 6?

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06-12-2022
Mathematics

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What is the common denominator of 3 4 and 5?; What is the common denominator of 3 5?; Do 3 and 4 have a common denominator?; What is the least common denominator of 3 4 and 5 6?

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qwgreen qwgreen · Answer 1 · 2022-12-13T12:48:00-05:00

The Common denominator of 3,4 and 5 is 60.

That of 3 and 5 is 15, 3 and 4 is 12 while the LCM of 3,4,5 and 6 is 60.

The common denominator of 3,4 and 5 would be 60 as that is the first number in the number line that collectively and completely divides all three of them.

The common denominator of 3 and 5 on the other hand is 15 with its factors as 1,3,5 .

Yes, 3 and 4 do have a common denominator. It is 12 again the product of 3 and 4 and thus completely divides both the numbers.

The least common denominator is the smallest number of value on the number line that collectively and completely divides the given numbers i.e. without leaving any remainders.

The LCM of 3,4,5 and 6, would be 60, which contrary to the above mentioned examples is not a direct product of all the four numbers. This is due to the fact that 6 has 2 and 3 as its factors which are also present as factor or 3 and 4 respectively. Owing to this 6 is completely divisible 60 which also has 6 as one of its factors.

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