Least Common Multiple of 6737/171, 6372/3636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6737/171, 6372/3636 quickly i.e. 4769796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6737/171, 6372/3636 is 4769796.

LCM(6737/171, 6372/3636) = 4769796

LCM of 6737/171, 6372/3636

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 6737/171,6372/3636

Given numbers are 6737/171,6372/3636

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 6737,6372

Least Common Multiple of Numerators i.e. LCM of 6737,6372 is 42928164.

GCF of Denominators means GCF of 171,3636 as per the given fractions.

GCF of 171,3636 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6737,6372

LCM of Fractions 6737/171,6372/3636 is 4769796

Given numbers has no common factors except 1. So, there LCM is their product i.e 42928164

Least Common Multiple of 6737,6372 with GCF Formula

Least Common Multiple of 6737,6372 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 6737,6372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6737,6372) = 1

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

GCF(6737,6372) x common factors =1 x 1 = 1

LCM(6737,6372) = ( 6737 × 6372 ) / 1

LCM(6737,6372) = 42928164 / 1

LCM(6737,6372) = 42928164


Lets's calculate GCF of 171,3636

3 171, 3636
3 57, 1212
19, 404

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42928164/9

Therefore the LCM of Fractions 6737/171,6372/3636 is 4769796

Greatest Common Factor of 171,3636 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,3636 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 3636

List of positive integer factors of 3636 that divides 3636 without a remainder.

1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636

Greatest Common Factor

We found the factors 171,3636 . The biggest common factor number is the GCF number.
So the greatest common factor 171,3636 is 9.


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 6737/171, 6372/3636

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 6737/171, 6372/3636?

Answer: LCM of Numerators as per given numbers 6737/171, 6372/3636 is

LCM of Numerators i.e. for 6737,6372 is 42928164

GCF of denominators i.e. for 171,3636 is 9.

Thus, LCM of Fractions is 4769796.Finally, LCM of Fractions for 6737/171, 6372/3636 is 4769796.