Least Common Multiple of 80/826, 6177/7147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/826, 6177/7147 quickly i.e. 494160/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/826, 6177/7147 is 494160/7.

LCM(80/826, 6177/7147) = 494160/7

LCM of 80/826, 6177/7147

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 80/826,6177/7147

Given numbers are 80/826,6177/7147

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 80,6177

Least Common Multiple of Numerators i.e. LCM of 80,6177 is 494160.

GCF of Denominators means GCF of 826,7147 as per the given fractions.

GCF of 826,7147 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,6177

LCM of Fractions 80/826,6177/7147 is 494160/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 494160

Least Common Multiple of 80,6177 with GCF Formula

Least Common Multiple of 80,6177 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 80,6177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,6177) = 1

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

GCF(80,6177) x common factors =1 x 1 = 1

LCM(80,6177) = ( 80 × 6177 ) / 1

LCM(80,6177) = 494160 / 1

LCM(80,6177) = 494160


Lets's calculate GCF of 826,7147

7 826, 7147
118, 1021

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 494160/7

Therefore the LCM of Fractions 80/826,6177/7147 is 494160/7

Greatest Common Factor of 826,7147 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,7147 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 7147

List of positive integer factors of 7147 that divides 7147 without a remainder.

1,7,1021,7147

Greatest Common Factor

We found the factors 826,7147 . The biggest common factor number is the GCF number.
So the greatest common factor 826,7147 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/826, 6177/7147

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 80/826, 6177/7147?

Answer: LCM of Numerators as per given numbers 80/826, 6177/7147 is

LCM of Numerators i.e. for 80,6177 is 494160

GCF of denominators i.e. for 826,7147 is 7.

Thus, LCM of Fractions is 494160/7.Finally, LCM of Fractions for 80/826, 6177/7147 is 494160/7.