Question

The LCM of two number is 3000 and their HCF is 75 if one of the number is 375 find the other number

Answer 1

lcm * hcf = one number * other number
3000 * 75. = 375. * other number
other number = 3000 * 75 / 375
= 200 * 75 / 25 = 8 *75 = 600

Answer 2

let the other required number be ' x '

Here we have given the L.C.M of two numbers

= 3000

and their H.C.F = 75

also we have given one number = 375

since , we know that

product of two numbers = H.C.F × L.C.M

x × 375 = 75 × 3000

x = 75 × 3000 / 375

x = 5 × 3000 / 25

x = 3000 / 5

x = 600

therefore,

the other required number = 600

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Your Answer : 600
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