Question

Hcf and lcm of 448,108,168 using fundamental theorem of arithmetic

Answer 1

Hi there !!

Fundamental theorem of arithmetic :

Every composite number can be expressed as a product of primes, and this factorisation is unique except for theorder in which the prime factors occur.

$448 = {2}^{6} \times 7 \\ \\ 108 = {2}^{2} \times {3}^{3} \\ \\ 168 = {2}^{3} \times 3 \times 37$

L.C.M of 448, 108 and 168 ( Highest power)

=2^6×3³×7

H.C.F of 448, 108 and 168 ( Lowe power)

2²= 4

Thank you :)