Least Common Multiple of 5952/378, 1172/5480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5952/378, 1172/5480 quickly i.e. 871968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5952/378, 1172/5480 is 871968.

LCM(5952/378, 1172/5480) = 871968

LCM of 5952/378, 1172/5480

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 5952/378,1172/5480

Given numbers are 5952/378,1172/5480

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 5952,1172

Least Common Multiple of Numerators i.e. LCM of 5952,1172 is 1743936.

GCF of Denominators means GCF of 378,5480 as per the given fractions.

GCF of 378,5480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5952,1172

LCM of Fractions 5952/378,1172/5480 is 871968

2 5952, 1172
2 2976, 586
1488, 293

∴ So the LCM of the given numbers is 2 x 2 x 1488 x 293 = 1743936

Least Common Multiple of 5952,1172 with GCF Formula

Least Common Multiple of 5952,1172 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 5952,1172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5952,1172) = 4

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

GCF(5952,1172) x common factors =4 x 1 = 4

LCM(5952,1172) = ( 5952 × 1172 ) / 4

LCM(5952,1172) = 6975744 / 4

LCM(5952,1172) = 1743936


Lets's calculate GCF of 378,5480

2 378, 5480
189, 2740

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1743936/2

Therefore the LCM of Fractions 5952/378,1172/5480 is 871968

Greatest Common Factor of 378,5480 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,5480 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480

Greatest Common Factor

We found the factors 378,5480 . The biggest common factor number is the GCF number.
So the greatest common factor 378,5480 is 2.


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 5952/378, 1172/5480

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 5952/378, 1172/5480?

Answer: LCM of Numerators as per given numbers 5952/378, 1172/5480 is

LCM of Numerators i.e. for 5952,1172 is 1743936

GCF of denominators i.e. for 378,5480 is 2.

Thus, LCM of Fractions is 871968.Finally, LCM of Fractions for 5952/378, 1172/5480 is 871968.