Least Common Multiple of 6744/147, 6596/4977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6744/147, 6596/4977 quickly i.e. 11120856/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6744/147, 6596/4977 is 11120856/21.

LCM(6744/147, 6596/4977) = 11120856/21

LCM of 6744/147, 6596/4977

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 6744/147,6596/4977

Given numbers are 6744/147,6596/4977

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 6744,6596

Least Common Multiple of Numerators i.e. LCM of 6744,6596 is 11120856.

GCF of Denominators means GCF of 147,4977 as per the given fractions.

GCF of 147,4977 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6744,6596

LCM of Fractions 6744/147,6596/4977 is 11120856/21

2 6744, 6596
2 3372, 3298
1686, 1649

∴ So the LCM of the given numbers is 2 x 2 x 1686 x 1649 = 11120856

Least Common Multiple of 6744,6596 with GCF Formula

Least Common Multiple of 6744,6596 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 6744,6596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6744,6596) = 4

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

GCF(6744,6596) x common factors =4 x 1 = 4

LCM(6744,6596) = ( 6744 × 6596 ) / 4

LCM(6744,6596) = 44483424 / 4

LCM(6744,6596) = 11120856


Lets's calculate GCF of 147,4977

3 147, 4977
7 49, 1659
7, 237

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11120856/21

Therefore the LCM of Fractions 6744/147,6596/4977 is 11120856/21

Greatest Common Factor of 147,4977 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,4977 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1,3,7,9,21,63,79,237,553,711,1659,4977

Greatest Common Factor

We found the factors 147,4977 . The biggest common factor number is the GCF number.
So the greatest common factor 147,4977 is 21.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6744/147, 6596/4977

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 6744/147, 6596/4977?

Answer: LCM of Numerators as per given numbers 6744/147, 6596/4977 is

LCM of Numerators i.e. for 6744,6596 is 11120856

GCF of denominators i.e. for 147,4977 is 21.

Thus, LCM of Fractions is 11120856/21.Finally, LCM of Fractions for 6744/147, 6596/4977 is 11120856/21.