LCM and HCF 2

If product of two numbers is 5780 and their HCF is 17, then what is their LCM is?

Correct answer:

x =  340

Step-by-step explanation:

a b = 5780 h=17  5780 = 2 × 2 × 5 × 17 × 17 = 22 × 5 × 172  (A h) (B h)=5780 (A B) h2=5780  x=5780/h=5780/17=340   Verifying Solution:   a=17 x=17 340=5780 b=(5780/a)=(5780/5780)=1  5780=225172 1 ...  prime number GCD(5780,1)=1  h1=GCD(a,b)=GCD(5780,1)=1 5780=225172 1 ...  prime number LCM(5780,1)=225172=5780  l1=LCM(a,b)=LCM(5780,1)=5780



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