Math, asked by vanamustafa011, 1 day ago

given that hcf (1152,1664)=128 the lcm (1152,1664) is ?​

Answers

Answered by monishashkl
1

Answer:

The LCM (1152, 1664) is 14,976

Step-by-step explanation:

We know that the HCF and the LCM of any two of the given numbers are related by the following given equation:

HCF × LCM = The respective product of the numbers

Now we have been given here that the two numbers are 1152 and the other one is 1664. Their HCF is 128 and LCM is now known.

Now we have,

HCF × LCM = 1152 × 1664

⇒ 128 × LCM = 1916928

⇒ LCM = 1916928 ÷ 128

⇒ LCM = 14976

Therefore the LCM of 1152 and 1664 is 14976.

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