Question

Using fundamental theorem of arithmetic, find the LCM and HCF of 8, 9
and 25.

Answer 1

Answer:

Hence, the L.C.M of these three numbers is 1800. Hence, L.C.M of 8, 9 and 25 is 1800 and H.C.F of 8, 9 and 25 is 1.

explaination: Prime factors of 8=2×2×2=23

Prime factors of 9=3×3=32

Prime factors of 25=5×5=52

Therefore, LCM =23×32×52=8×9×25=1800

Since, there is no common factors among the prime factors of given three numbers,

Thus HCF = 1

Answer 2

Answer:

LCM=8=2x2x2

=9=3x3x3

25=5x5

HCF=2x2x2x3x3x3x5x5