Least Common Multiple of 8772/610, 2153/6804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8772/610, 2153/6804 quickly i.e. 9443058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8772/610, 2153/6804 is 9443058.

LCM(8772/610, 2153/6804) = 9443058

LCM of 8772/610, 2153/6804

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 8772/610,2153/6804

Given numbers are 8772/610,2153/6804

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 8772,2153

Least Common Multiple of Numerators i.e. LCM of 8772,2153 is 18886116.

GCF of Denominators means GCF of 610,6804 as per the given fractions.

GCF of 610,6804 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8772,2153

LCM of Fractions 8772/610,2153/6804 is 9443058

Given numbers has no common factors except 1. So, there LCM is their product i.e 18886116

Least Common Multiple of 8772,2153 with GCF Formula

Least Common Multiple of 8772,2153 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 8772,2153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8772,2153) = 1

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

GCF(8772,2153) x common factors =1 x 1 = 1

LCM(8772,2153) = ( 8772 × 2153 ) / 1

LCM(8772,2153) = 18886116 / 1

LCM(8772,2153) = 18886116


Lets's calculate GCF of 610,6804

2 610, 6804
305, 3402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18886116/2

Therefore the LCM of Fractions 8772/610,2153/6804 is 9443058

Greatest Common Factor of 610,6804 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,6804 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804

Greatest Common Factor

We found the factors 610,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 610,6804 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8772/610, 2153/6804

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 8772/610, 2153/6804?

Answer: LCM of Numerators as per given numbers 8772/610, 2153/6804 is

LCM of Numerators i.e. for 8772,2153 is 18886116

GCF of denominators i.e. for 610,6804 is 2.

Thus, LCM of Fractions is 9443058.Finally, LCM of Fractions for 8772/610, 2153/6804 is 9443058.