Least Common Multiple of 5393/378, 7076/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5393/378, 7076/136 quickly i.e. 19080434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5393/378, 7076/136 is 19080434.

LCM(5393/378, 7076/136) = 19080434

LCM of 5393/378, 7076/136

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 5393/378,7076/136

Given numbers are 5393/378,7076/136

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 5393,7076

Least Common Multiple of Numerators i.e. LCM of 5393,7076 is 38160868.

GCF of Denominators means GCF of 378,136 as per the given fractions.

GCF of 378,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5393,7076

LCM of Fractions 5393/378,7076/136 is 19080434

Given numbers has no common factors except 1. So, there LCM is their product i.e 38160868

Least Common Multiple of 5393,7076 with GCF Formula

Least Common Multiple of 5393,7076 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 5393,7076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5393,7076) = 1

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

GCF(5393,7076) x common factors =1 x 1 = 1

LCM(5393,7076) = ( 5393 × 7076 ) / 1

LCM(5393,7076) = 38160868 / 1

LCM(5393,7076) = 38160868


Lets's calculate GCF of 378,136

2 378, 136
189, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38160868/2

Therefore the LCM of Fractions 5393/378,7076/136 is 19080434

Greatest Common Factor of 378,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,136 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 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 378,136 . The biggest common factor number is the GCF number.
So the greatest common factor 378,136 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5393/378, 7076/136

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 5393/378, 7076/136?

Answer: LCM of Numerators as per given numbers 5393/378, 7076/136 is

LCM of Numerators i.e. for 5393,7076 is 38160868

GCF of denominators i.e. for 378,136 is 2.

Thus, LCM of Fractions is 19080434.Finally, LCM of Fractions for 5393/378, 7076/136 is 19080434.