Least Common Multiple of 7126/977, 5404/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7126/977, 5404/378 quickly i.e. 2750636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7126/977, 5404/378 is 2750636.

LCM(7126/977, 5404/378) = 2750636

LCM of 7126/977, 5404/378

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 7126/977,5404/378

Given numbers are 7126/977,5404/378

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 7126,5404

Least Common Multiple of Numerators i.e. LCM of 7126,5404 is 2750636.

GCF of Denominators means GCF of 977,378 as per the given fractions.

GCF of 977,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7126,5404

LCM of Fractions 7126/977,5404/378 is 2750636

2 7126, 5404
7 3563, 2702
509, 386

∴ So the LCM of the given numbers is 2 x 7 x 509 x 386 = 2750636

Least Common Multiple of 7126,5404 with GCF Formula

Least Common Multiple of 7126,5404 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 7126,5404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7126,5404) = 14

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

GCF(7126,5404) x common factors =14 x 1 = 14

LCM(7126,5404) = ( 7126 × 5404 ) / 14

LCM(7126,5404) = 38508904 / 14

LCM(7126,5404) = 2750636


Lets's calculate GCF of 977,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2750636/1

Therefore the LCM of Fractions 7126/977,5404/378 is 2750636

Greatest Common Factor of 977,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,378 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

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

Greatest Common Factor

We found the factors 977,378 . The biggest common factor number is the GCF number.
So the greatest common factor 977,378 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7126/977, 5404/378

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 7126/977, 5404/378?

Answer: LCM of Numerators as per given numbers 7126/977, 5404/378 is

LCM of Numerators i.e. for 7126,5404 is 2750636

GCF of denominators i.e. for 977,378 is 1.

Thus, LCM of Fractions is 2750636.Finally, LCM of Fractions for 7126/977, 5404/378 is 2750636.