Least Common Multiple of 24/56, 269/42, 757/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/56, 269/42, 757/273 quickly i.e. 4887192/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/56, 269/42, 757/273 is 4887192/7.

LCM(24/56, 269/42, 757/273) = 4887192/7

LCM of 24/56, 269/42, 757/273

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 24/56,269/42,757/273

Given numbers are 24/56,269/42,757/273

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 24,269,757

Least Common Multiple of Numerators i.e. LCM of 24,269,757 is 4887192.

GCF of Denominators means GCF of 56,42,273 as per the given fractions.

GCF of 56,42,273 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,269,757

LCM of Fractions 24/56,269/42,757/273 is 4887192/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 4887192

Least Common Multiple of 24,269,757 with GCF Formula

Least Common Multiple of 24,269,757 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 24,269,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,269,757) = 1

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

GCF(24,269,757) x common factors =1 x 1 = 1

LCM(24,269,757) = ( 24 × 269 × 757 ) / 1

LCM(24,269,757) = 4887192 / 1

LCM(24,269,757) = 4887192


Lets's calculate GCF of 56,42,273

7 56, 42, 273
8, 6, 39

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4887192/7

Therefore the LCM of Fractions 24/56,269/42,757/273 is 4887192/7

Greatest Common Factor of 56,42,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,42,273 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

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

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 56,42,273 . The biggest common factor number is the GCF number.
So the greatest common factor 56,42,273 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 24/56, 269/42, 757/273

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 24/56, 269/42, 757/273?

Answer: LCM of Numerators as per given numbers 24/56, 269/42, 757/273 is

LCM of Numerators i.e. for 24,269,757 is 4887192

GCF of denominators i.e. for 56,42,273 is 7.

Thus, LCM of Fractions is 4887192/7.Finally, LCM of Fractions for 24/56, 269/42, 757/273 is 4887192/7.