Daizy14
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x is an integer.
The Lowest Common Multiple (LCM) of x and 12 is 120
The Highest Common Factor (HCF) of x and 12 is 4
Work out the value of x

x is an integer The Lowest Common Multiple LCM of x and 12 is 120 The Highest Common Factor HCF of x and 12 is 4 Work out the value of x class=

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LammettHash

Since 120 = 12 • 10 and LCM(x, 12) = 120, these suggest x is some multiple of 10.

HCF(x, 12) = 4 tells us that x is a multiple of 4.

If x is a both a multiple of 4 and 10, then the smallest x that fits both conditions is 4 • 10 = 40. (-40 also satisfies the criteria.)

anuksha0456

The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.

What do we mean by Lowest Common Multiple (LCM) and Highest Common Factor (HCF)?

The Lowest Common Multiple (LCM) of the numbers is the smallest common multiple of the given numbers.

The Highest Common Factor (HCF) of the numbers is the greatest factor of the given numbers.

In the case of two numbers, the product of LCM and HCF is equal to the product of the numbers.

How do we solve the given question?

We are given two numbers, x and 12.

Their LCM and HCF are 120 and 4 respectively.

We are asked to find the number x.

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

∴ x*12 = 120*4

or, 12x = 480

or, x = 480/12

or, x = 40.

∴ The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.

Learn more about HCF and LCM at

https://brainly.com/question/21504246

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