Question

. Using prime factorization, find the HCF and LCM of
1. 24,36, 40
​

Answer 1

Answer:

24=2×2×2×3

36=2×2×3

40=2×2×2×5

H.C.F=2×2=4

L.C.M=2×2×2×3×3×5=360

Answer 2

24 = 2 × 2 × 2 × 3 = 23 × 3

36 = 2 × 2 × 3 × 3 = 22 × 32

40 = 2 × 2 × 2 × 5 = 23 × 5

HCF = product of smallest power of each common prime factor in the numbers = 2^2 = 4

LCM = product of greatest power of each prime factor involved in the numbers = 2^3 × 3^2 × 5 = 360