Question

Find the L.C.M. of
168 and 192. Using
L.C.M, find H.C.F.
Of the numbers.
hope you can answer this question

Answer 1

Answer:

both are divided by 2 ....

Answer 2

Answer:

Using the factor tree for the prime factorization of 144,180 and 192, we have

144=2

4

×3

2

,180=2

2

×3

2

×5 and 192=2

6

×3

To find the HCF, we list the common prime factor and their smallest exponents in 144,180 and 192 as follows:

Common prime factor Least exponents

2 2

3 1

∴ HCF=2

2

×3

1

=12

To find the LCM, we list all prime factors of 144,180,192 and their greatest exponents as follows:

Prime factors of 144,180 and 192 Greatest exponents

2 6

3 2

5 1

∴ LCM=2

6

×3

2

×5

1

=64×9×5=2880