if hcf of a,b=12and a×b=1500 then LCMof a,b is how much
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Answered by
53
Answer:
Given:
Hcf=12
Product of two numbers(a,b)=1500
now,
Hcf×Lcm=product of two numbers
12×Lcm=1500
Lcm=1500/12
=>Lcm=125
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The LCM of the given numbers a and b is 125
Given
- HCF of a,b=12
- a×b=1500
To find
- LCM of a,b
Solution
we are provided with the HCF of two numbers as well the product of two numbers namely A and B and are asked to find the LCM of the same numbers.
it could be estimated by substituting the given values in the relation connecting HCF, LCM and product of the numbers.
the relation connecting all these,
LCM × HCF = a × b
or, 12 × LCM = 1500
or, LCM = 1500/12
or, LCM = 125
Therefore, the LCM of the given numbers a and b is 125
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