Least Common Multiple of 5676/840, 1903/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5676/840, 1903/837 quickly i.e. 327316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5676/840, 1903/837 is 327316.

LCM(5676/840, 1903/837) = 327316

LCM of 5676/840, 1903/837

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 5676/840,1903/837

Given numbers are 5676/840,1903/837

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 5676,1903

Least Common Multiple of Numerators i.e. LCM of 5676,1903 is 981948.

GCF of Denominators means GCF of 840,837 as per the given fractions.

GCF of 840,837 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5676,1903

LCM of Fractions 5676/840,1903/837 is 327316

11 5676, 1903
516, 173

∴ So the LCM of the given numbers is 11 x 516 x 173 = 981948

Least Common Multiple of 5676,1903 with GCF Formula

Least Common Multiple of 5676,1903 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 5676,1903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5676,1903) = 11

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

GCF(5676,1903) x common factors =11 x 1 = 11

LCM(5676,1903) = ( 5676 × 1903 ) / 11

LCM(5676,1903) = 10801428 / 11

LCM(5676,1903) = 981948


Lets's calculate GCF of 840,837

3 840, 837
280, 279

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 981948/3

Therefore the LCM of Fractions 5676/840,1903/837 is 327316

Greatest Common Factor of 840,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,837 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 840,837 . The biggest common factor number is the GCF number.
So the greatest common factor 840,837 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5676/840, 1903/837

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 5676/840, 1903/837?

Answer: LCM of Numerators as per given numbers 5676/840, 1903/837 is

LCM of Numerators i.e. for 5676,1903 is 981948

GCF of denominators i.e. for 840,837 is 3.

Thus, LCM of Fractions is 327316.Finally, LCM of Fractions for 5676/840, 1903/837 is 327316.