Question

Lcm of 50 90 and 120 by prim factorization

Answer 1

Step-by-step explanation:

Find the LCM  and  HCF  of given pair numbers by prime factorisation method

(i)  120,90

(ii)  60,60

(iii) 37,49

HCF of numbers = product of the smallest power of each common - prime factors of the number

LCM of number= product of greatest power of each prime factors of the number

(1) 120, 90

120⇒2×2×2×3×5=23×3×5

90⇒2×3×3×5=2×32×5

HCP⇒2×3×5=30

L.CM⇒23×32×5=360

(2) 50,60

50⇒2×5×5

=2×52

60=2×2×3×5=22×3×5

HCF=2×5=10

LCM=22×3×52=300

(3) 37,49

37×1=37

49⇒72   HCF = 1

LCM = 37×72=1086