Question

The HCF of 2 numbers is 75 and their LCM is 1500. If one of the numbers is 300, find the other.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The other number is 375

Explanation: Given

HCF=75

LCM=1500

One of the number is 300.

find the other number.

Solution: In mathematics, LCM stands for Least Common Multiple, where as HCF stands for Highest Common Factor. The biggest factor present between two or more numbers is defined by the H.C.F, where as the least number that is exactly divisible by two or more numbers is defined by the L.C.M.

Let the other number be $x$

So the formula is

$LCM \times HCF= One number \times other number$

$75\times 1500=300\times x$

$\frac{75\times 1500}{300}=x$

$x=375$

Hence, the other number is 375.

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