Least Common Multiple of 172/845, 6324/7791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/845, 6324/7791 quickly i.e. 271932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/845, 6324/7791 is 271932.

LCM(172/845, 6324/7791) = 271932

LCM of 172/845, 6324/7791

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 172/845,6324/7791

Given numbers are 172/845,6324/7791

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 172,6324

Least Common Multiple of Numerators i.e. LCM of 172,6324 is 271932.

GCF of Denominators means GCF of 845,7791 as per the given fractions.

GCF of 845,7791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,6324

LCM of Fractions 172/845,6324/7791 is 271932

2 172, 6324
2 86, 3162
43, 1581

∴ So the LCM of the given numbers is 2 x 2 x 43 x 1581 = 271932

Least Common Multiple of 172,6324 with GCF Formula

Least Common Multiple of 172,6324 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 172,6324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,6324) = 4

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

GCF(172,6324) x common factors =4 x 1 = 4

LCM(172,6324) = ( 172 × 6324 ) / 4

LCM(172,6324) = 1087728 / 4

LCM(172,6324) = 271932


Lets's calculate GCF of 845,7791

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271932/1

Therefore the LCM of Fractions 172/845,6324/7791 is 271932

Greatest Common Factor of 845,7791 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,7791 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 7791

List of positive integer factors of 7791 that divides 7791 without a remainder.

1,3,7,21,49,53,147,159,371,1113,2597,7791

Greatest Common Factor

We found the factors 845,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 845,7791 is 1.


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 172/845, 6324/7791

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 172/845, 6324/7791?

Answer: LCM of Numerators as per given numbers 172/845, 6324/7791 is

LCM of Numerators i.e. for 172,6324 is 271932

GCF of denominators i.e. for 845,7791 is 1.

Thus, LCM of Fractions is 271932.Finally, LCM of Fractions for 172/845, 6324/7791 is 271932.