If a x b = 180 and HCF ( a, b ) = 3, then find the LCM ( a, b ).
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Answer:
lcm=6 ...............
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Given,
A×B = 180 (product of two numbers)
HCF of A and B = 3
To find,
LCM of A and B.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Here, we have to use the mathematical relationship between the LCM and HCF.
Product of two numbers = LCM × HCF
180 = LCM × 3
LCM = 180/3
LCM = 60
(In this method we can derive product,LCM or HCF of given numbers, if any two of the three values are given.)
Hence, the LCM of A and B will be 60.
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