Least Common Multiple of 24/112, 487/506, 631/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/112, 487/506, 631/639 quickly i.e. 7375128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/112, 487/506, 631/639 is 7375128.

LCM(24/112, 487/506, 631/639) = 7375128

LCM of 24/112, 487/506, 631/639

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 24/112,487/506,631/639

Given numbers are 24/112,487/506,631/639

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 24,487,631

Least Common Multiple of Numerators i.e. LCM of 24,487,631 is 7375128.

GCF of Denominators means GCF of 112,506,639 as per the given fractions.

GCF of 112,506,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,487,631

LCM of Fractions 24/112,487/506,631/639 is 7375128

Given numbers has no common factors except 1. So, there LCM is their product i.e 7375128

Least Common Multiple of 24,487,631 with GCF Formula

Least Common Multiple of 24,487,631 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,487,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,487,631) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(24,487,631) x common factors =1 x 1 = 1

LCM(24,487,631) = ( 24 × 487 × 631 ) / 1

LCM(24,487,631) = 7375128 / 1

LCM(24,487,631) = 7375128


Lets's calculate GCF of 112,506,639

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7375128/1

Therefore the LCM of Fractions 24/112,487/506,631/639 is 7375128

Greatest Common Factor of 112,506,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,506,639 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 112,506,639 . The biggest common factor number is the GCF number.
So the greatest common factor 112,506,639 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/112, 487/506, 631/639

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 24/112, 487/506, 631/639?

Answer: LCM of Numerators as per given numbers 24/112, 487/506, 631/639 is

LCM of Numerators i.e. for 24,487,631 is 7375128

GCF of denominators i.e. for 112,506,639 is 1.

Thus, LCM of Fractions is 7375128.Finally, LCM of Fractions for 24/112, 487/506, 631/639 is 7375128.