What is the LCM and gcf of 12 28 and 36?

Answer 1

To find the LCM of these values, we need to factor out each term.

28 = 2² x 7

36 = 6 x 6 = 2² x 3²

Select the prime factor with the highest exponent and multiply all the "available" primes. The LCM turns out to be:

LCM = 2² x 3² x 7 = 252.

Therefore, the LCM of 28 and 36 is 252.

Answer 2

First you need to split the numbers into their prime factors:

36 = 2x2x3x3

40 = 2x2x2x5

The next step is to identify the HCF. In this case the HCF is 4. Finally, you multiply the numbers together and divide by the HCF:

36x40/4 = 360

And so the LCM of 36 and 40 is 360.

Answer 3

1 but most people don't use 1 because every numbers least common mulitpler is one so 2.

Answer 4

You make a table of their multiples and find the first instance where they are the same.

Answer 5

The LCM is 252.

The GCF is 4.

Answer 6

The GCF is 4.

The LCM is 252.

Answer 7

LCM(12, 28, 36) = 252.

Answer 8

It is 504.