LCM And HCF of two numbers are 960 and 16 resp. If one number is 120, Find the other
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Step-by-step explanation:
The product of 2 numbers is always equal to the product of their Highest common factor (HCF) and Least common multiple (LCM).
Complete step-by-step answer:
It is given that the HCF and LCM of two numbers are 960 and 8 respectively. One of the numbers is 64.
Let the other number be x .
Since
HCF×LCM= Product of 2 Numbers
⇒960×8=64×x
⇒960×864=x
⇒x=120
Thus the other number is 120.
Note: The vice versa is also always true. The product of the 2 numbers will always give the product of HCF and LCM so we can find them if either is given.
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