Question

The LCM and HCF of two numbers are 120 and 5 respectively. If one of the numbers is 15, find the other number. ​

Answer 1

For finding another number if one number is given we use the formula :-

LCM×HCF/First number

so ,solution is

120×5/15

=40

so second number is 40

Answer 2

The other number = 40

Given :

• LCM and HCF of two numbers are 120 and 5 respectively.

• One of the numbers is 15

To find :

The other number

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that LCM and HCF of two numbers are 120 and 5 respectively.

One of the numbers is 15

Step 2 of 2 :

Find the other number

We know that ,

HCF × LCM = Product of the numbers

Thus we get ,

$\displaystyle \sf{ 5 \times 120 = 15 \times Other \: number }$

$\displaystyle \sf{ \implies 15 \times Other \: number =5 \times 120 }$

$\displaystyle \sf{ \implies Other \: number = \frac{5 \times 120}{15} }$

$\displaystyle \sf{ \implies Other \: number = \frac{120 }{3} }$

$\displaystyle \sf{ \implies Other \: number =40 }$

Hence the other number = 40

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Learn more from Brainly :-

$1.$ If HCF of two numbers be 40 then which of the following cannot be their LCM.

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