Least Common Multiple of 5943/910, 8304/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5943/910, 8304/664 quickly i.e. 8225112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5943/910, 8304/664 is 8225112.

LCM(5943/910, 8304/664) = 8225112

LCM of 5943/910, 8304/664

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 5943/910,8304/664

Given numbers are 5943/910,8304/664

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 5943,8304

Least Common Multiple of Numerators i.e. LCM of 5943,8304 is 16450224.

GCF of Denominators means GCF of 910,664 as per the given fractions.

GCF of 910,664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5943,8304

LCM of Fractions 5943/910,8304/664 is 8225112

3 5943, 8304
1981, 2768

∴ So the LCM of the given numbers is 3 x 1981 x 2768 = 16450224

Least Common Multiple of 5943,8304 with GCF Formula

Least Common Multiple of 5943,8304 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 5943,8304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5943,8304) = 3

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

GCF(5943,8304) x common factors =3 x 1 = 3

LCM(5943,8304) = ( 5943 × 8304 ) / 3

LCM(5943,8304) = 49350672 / 3

LCM(5943,8304) = 16450224


Lets's calculate GCF of 910,664

2 910, 664
455, 332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16450224/2

Therefore the LCM of Fractions 5943/910,8304/664 is 8225112

Greatest Common Factor of 910,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,664 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 910,664 . The biggest common factor number is the GCF number.
So the greatest common factor 910,664 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5943/910, 8304/664

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 5943/910, 8304/664?

Answer: LCM of Numerators as per given numbers 5943/910, 8304/664 is

LCM of Numerators i.e. for 5943,8304 is 16450224

GCF of denominators i.e. for 910,664 is 2.

Thus, LCM of Fractions is 8225112.Finally, LCM of Fractions for 5943/910, 8304/664 is 8225112.