Least Common Multiple of 972/884, 403/856, 102/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/884, 403/856, 102/184 quickly i.e. 1664793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/884, 403/856, 102/184 is 1664793.

LCM(972/884, 403/856, 102/184) = 1664793

LCM of 972/884, 403/856, 102/184

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 972/884,403/856,102/184

Given numbers are 972/884,403/856,102/184

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 972,403,102

Least Common Multiple of Numerators i.e. LCM of 972,403,102 is 6659172.

GCF of Denominators means GCF of 884,856,184 as per the given fractions.

GCF of 884,856,184 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,403,102

LCM of Fractions 972/884,403/856,102/184 is 1664793

2 972, 403, 102
3 486, 403, 51
162, 403, 17

∴ So the LCM of the given numbers is 2 x 3 x 162 x 403 x 17 = 6659172

Least Common Multiple of 972,403,102 with GCF Formula

Least Common Multiple of 972,403,102 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 972,403,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,403,102) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(972,403,102) x common factors =1 x 6 = 6

LCM(972,403,102) = ( 972 × 403 × 102 ) / 6

LCM(972,403,102) = 39955032 / 6

LCM(972,403,102) = 6659172


Lets's calculate GCF of 884,856,184

2 884, 856, 184
2 442, 428, 92
221, 214, 46

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6659172/4

Therefore the LCM of Fractions 972/884,403/856,102/184 is 1664793

Greatest Common Factor of 884,856,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,856,184 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 884,856,184 . The biggest common factor number is the GCF number.
So the greatest common factor 884,856,184 is 4.


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 972/884, 403/856, 102/184

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 972/884, 403/856, 102/184?

Answer: LCM of Numerators as per given numbers 972/884, 403/856, 102/184 is

LCM of Numerators i.e. for 972,403,102 is 6659172

GCF of denominators i.e. for 884,856,184 is 4.

Thus, LCM of Fractions is 1664793.Finally, LCM of Fractions for 972/884, 403/856, 102/184 is 1664793.