Multiple Choice Questions

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

Quantitative Aptitude (MPPCS) LCM, HCF

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

432

434

440

490

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 1 is the correct answer.

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