Question

① The LCM and HCF of two number are 240
and 12 respectively. If one of the number
is 60, then find the other.​

Answer 1

Answer:

48

Step-by-step explanation:

Let the unknown number be x.

Product of 2 numbers = LCM * HCF

x * 60 = 240 * 12

x = $\frac{240 * 12}{60}$

x = 48

The other number is 48.

Answer 2

Given :

• LCM is 240
• HCF is 12
• One number is 60

To Find :

• Other number

Solution :

We're are given that LCM and HCF of two numbers are 240 and 12 respectively. and one of the number is 60 . We've to find out the anther number.

let's another number be x.

For this use following formula :

⇒L.C.M * H.C.F = Product of numbers

⇒240 * 12 = 60 * x

⇒2880 = 60x

⇒x = 2280/60

⇒x = 228/6

⇒x = 48

$\therefore$ Another number is 48

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Proof :

We can also check our answer by putting values :

⇒240 * 12 = 60 * 48

⇒2280 = 2280

So, our answer is correct

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• The number which is the greatest common factor, divisible by the given number is called there HCF.

• LCM is the smallest common multiple of the given numbers it is also known as least common multiple.