Question

The hcf of two number is 75 and their LCM is 1500 if one of them is 300 find other

Answer 1

Hi there ,

         HCF(a,b) X LCM(a,b) = a

here hcf is 75 and lcm is 1500 which is equal to 300 x  ___

so, 75 x 1500 = 300 x ___

    112500 = 300 x  ___

     112500/300 = 375

 therefore the other number is 375.

Answer 2

Concept-

Let the one number be x and use the formula LCM × HCF = Product of two numbers.

Given-

HCF of two number is 75 and their LCM is 1500 and one of the number is 300

Find-

Find the other number.

Solution-

In mathematics, LCM stands for Least whole number, where as HCF stands for Highest factor. the most important factor present between two or more numbers is defined by H.C.F, where the tiniest number that's exactly divisible by two or more numbers is defined by L.C.M.

Let the other number be x

So the formula is, LCM × HCF = One number × Other number

75 × 1500 = 300 × x

x = 75 × 1500 / 300

x = 375

Hence, the other number is 375.

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