the HCF of two numbers is 15, and their product is 1650 find their LCM
Answers
lcm=1650/15
lcm=110...
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The LCM of the two numbers = 110
Given :
The HCF of two numbers is 15 and their product is 1650.
To find :
The LCM of the two numbers
Concept :
HCF :
For the given two or more numbers HCF is the greatest number that divides each of the numbers
LCM :
For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers
Relation between HCF and LCM :
HCF × LCM = Product of the numbers
Solution :
Step 1 of 2 :
Write down HCF and product of two numbers
Here it is given that HCF of two numbers is 15 and their product is 1650.
Step 2 of 2 :
Find the LCM
We know that
HCF × LCM = Product of the numbers
⇒ 15 × LCM = 1650
⇒ LCM = 1650/15
⇒ LCM = 110
The LCM of the two numbers = 110
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