Question

Find the L.C.M and H.C.F of 120 and 180 by prime factorization method.​

Answer 1

Answer:

Find the prime factorization of 120.

Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 2 × 3 × 3 × 5.

LCM = 360

Answer 2

L.C.M. = 720 & H.C.F. = 24

To find:

Find the lowest common multiple (LCM) and highest common factor (HCF) of 120 and 144 by fundamental theorem of arithmetic.

Solution:

HCF is a largest number that “divides exactly into two or more numbers”.

LCM is two numbers is the “smallest number that they both divide evenly into”.