The H.C.F of two numbers is 15 and the product of the two numbers is 2925. What is the L.C.M of these numbers and what are the two numbers?
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Step-by-step explanation:
Given :-
The H.C.F of two numbers is 15 and the product of the two numbers is 2925.
To find :-
LCM of two numbers
Solution :-
Product of two numbers = 2925
HCF of two numbers = 15
As we know that
→ LCM × HCF = Product of two numbers
→ LCM × HCF = a × b
where " a " represent first number and " b " represent second number
→ LCM × 15 = 2925
→ LCM = 2925/15
→ LCM = 195
Hence,
LCM of two numbers is 195
Verification :-
LCM × HCF = Product of two numbers
LHS = LCM × HCF
→ 195 × 15
→ 2925 = RHS
Therefore, LHS = RHS verified
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