Math, asked by qwerty9542, 9 months ago

LCM of given number ‘x’ and ‘y’ where y is a multiple of x is given by

Answers

Answered by paidilokesh295
383

Answer:

LCM=y

Hope this helps you

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Answered by priyadarshinibhowal2
4

The LCM is y.

  • Least Common Multiple is the meaning of the abbreviation LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers. Finding the LCM of a given collection of numbers can be done in a variety of ways.
  • Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.

Here, according to the given information, we are given that,

The two numbers are x and y.

Now, since y is a multiple of x, x is a factor of y.

Then, the highest common factor between x and y is x.

Then, we know that product of the HCF and the LCM is equal to the product of the two numbers.

Then, LCM × HCF = x.y

Or, LCM = \frac{x.y}{x} = y.\\

Hence, the LCM is y.

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