If the HCF of two numbers is 32 and their product is 10240, then their LCM is equal to________.
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Answers
Answered by
5
Step-by-step explanation:
LCM = product of two numbers divided by HCF.
then the answer is 10240/32= 320
Answered by
1
The LCM is 320.
Explanation:
Let a and b be two numbers, then
What is LCM (a,b):
It is the smallest positive integer that should be divisible by both a and b
What is HCF (a,b):
It is the largest positive integer that divides them without leaving a remainder.
Relation between HCF AND LCM:
By definition, we can conclude that the product of two numbers; a and b, is equal to the product of LCM (a,b) and HCF (a,b).
∴ a × b = LCM × HCF
⇒ LCM = (a × b) ÷ HCF
= 10240 ÷ 32
= 320
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