Least Common Multiple of 7153/876, 6164/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7153/876, 6164/677 quickly i.e. 1917004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7153/876, 6164/677 is 1917004.

LCM(7153/876, 6164/677) = 1917004

LCM of 7153/876, 6164/677

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 7153/876,6164/677

Given numbers are 7153/876,6164/677

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 7153,6164

Least Common Multiple of Numerators i.e. LCM of 7153,6164 is 1917004.

GCF of Denominators means GCF of 876,677 as per the given fractions.

GCF of 876,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7153,6164

LCM of Fractions 7153/876,6164/677 is 1917004

23 7153, 6164
311, 268

∴ So the LCM of the given numbers is 23 x 311 x 268 = 1917004

Least Common Multiple of 7153,6164 with GCF Formula

Least Common Multiple of 7153,6164 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 7153,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7153,6164) = 23

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

GCF(7153,6164) x common factors =23 x 1 = 23

LCM(7153,6164) = ( 7153 × 6164 ) / 23

LCM(7153,6164) = 44091092 / 23

LCM(7153,6164) = 1917004


Lets's calculate GCF of 876,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1917004/1

Therefore the LCM of Fractions 7153/876,6164/677 is 1917004

Greatest Common Factor of 876,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,677 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 876,677 . The biggest common factor number is the GCF number.
So the greatest common factor 876,677 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7153/876, 6164/677

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 7153/876, 6164/677?

Answer: LCM of Numerators as per given numbers 7153/876, 6164/677 is

LCM of Numerators i.e. for 7153,6164 is 1917004

GCF of denominators i.e. for 876,677 is 1.

Thus, LCM of Fractions is 1917004.Finally, LCM of Fractions for 7153/876, 6164/677 is 1917004.