Question

find the hcf and lcm of 24 and 60 by prime factorization method​

Answer 1

Answer:

LCM = 120

HCF = 12

Step-by-step explanation:

Factors of 24 are 2³ × 3¹

Factors of 60 are 2² × 3¹ × 5¹

LCM = product of highest powers = 2³ × 3¹ × 5¹ = 8 × 3 × 5 = 120

HCF = product of common lowest powers = 2² × 3¹ = 4 × 3 = 12

Answer 2

Answer:

So the HCF of 24 and 60 is 2 x 2 x 3 = 12.

The LCM of 24 and 60 is found by multiplying together all the prime factors of both numbers. However if a number occurs in both lists we only count it once.

So the LCM of 24 and 60 is 2 x 2 x 2 x 3 x 5 = 120.