Least Common Multiple of 56/48, 144/90, 757/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/48, 144/90, 757/948 quickly i.e. 127176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/48, 144/90, 757/948 is 127176.

LCM(56/48, 144/90, 757/948) = 127176

LCM of 56/48, 144/90, 757/948

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 56/48,144/90,757/948

Given numbers are 56/48,144/90,757/948

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 56,144,757

Least Common Multiple of Numerators i.e. LCM of 56,144,757 is 763056.

GCF of Denominators means GCF of 48,90,948 as per the given fractions.

GCF of 48,90,948 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,144,757

LCM of Fractions 56/48,144/90,757/948 is 127176

2 56, 144, 757
2 28, 72, 757
2 14, 36, 757
7, 18, 757

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 18 x 757 = 763056

Least Common Multiple of 56,144,757 with GCF Formula

Least Common Multiple of 56,144,757 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 56,144,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,144,757) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,144,757) x common factors =1 x 8 = 8

LCM(56,144,757) = ( 56 × 144 × 757 ) / 8

LCM(56,144,757) = 6104448 / 8

LCM(56,144,757) = 763056


Lets's calculate GCF of 48,90,948

2 48, 90, 948
3 24, 45, 474
8, 15, 158

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 763056/6

Therefore the LCM of Fractions 56/48,144/90,757/948 is 127176

Greatest Common Factor of 48,90,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,90,948 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 48,90,948 . The biggest common factor number is the GCF number.
So the greatest common factor 48,90,948 is 6.


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 56/48, 144/90, 757/948

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 56/48, 144/90, 757/948?

Answer: LCM of Numerators as per given numbers 56/48, 144/90, 757/948 is

LCM of Numerators i.e. for 56,144,757 is 763056

GCF of denominators i.e. for 48,90,948 is 6.

Thus, LCM of Fractions is 127176.Finally, LCM of Fractions for 56/48, 144/90, 757/948 is 127176.