Multiple Choice Questions

he LCM of two numbers is 864 and their HCF is 144 If one of the number is 288 the other nu...........

Qunatitative Aptitude (RBI Ast) LCM, HCF

he LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, the other number is

576

1296

432

144

LCM × HCF = Ist number × IInd number

Product of numbers = HCF × LCM

⇒ LCM = 864

HCF = 144

One number x = 288

∴Let other no. be y

∴xy = LCM × HCF

⇒ 288 × y = 864 × 144

y = (864 × 144)/288 = 432

∴ Other no. will be 432

Hence, option 3 is the correct answer.

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