Least Common Multiple of 54/129, 812/917, 864/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/129, 812/917, 864/656 quickly i.e. 175392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/129, 812/917, 864/656 is 175392.

LCM(54/129, 812/917, 864/656) = 175392

LCM of 54/129, 812/917, 864/656

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 54/129,812/917,864/656

Given numbers are 54/129,812/917,864/656

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 54,812,864

Least Common Multiple of Numerators i.e. LCM of 54,812,864 is 175392.

GCF of Denominators means GCF of 129,917,656 as per the given fractions.

GCF of 129,917,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,812,864

LCM of Fractions 54/129,812/917,864/656 is 175392

2 54, 812, 864
2 27, 406, 432
3 27, 203, 216
3 9, 203, 72
3 3, 203, 24
1, 203, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 203 x 8 = 175392

Least Common Multiple of 54,812,864 with GCF Formula

Least Common Multiple of 54,812,864 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 54,812,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,812,864) = 2

common factors(in case of two or more numbers have common factors) = 108

GCF(54,812,864) x common factors =2 x 108 = 216

LCM(54,812,864) = ( 54 × 812 × 864 ) / 216

LCM(54,812,864) = 37884672 / 216

LCM(54,812,864) = 175392


Lets's calculate GCF of 129,917,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175392/1

Therefore the LCM of Fractions 54/129,812/917,864/656 is 175392

Greatest Common Factor of 129,917,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,917,656 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 129,917,656 . The biggest common factor number is the GCF number.
So the greatest common factor 129,917,656 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 54/129, 812/917, 864/656

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 54/129, 812/917, 864/656?

Answer: LCM of Numerators as per given numbers 54/129, 812/917, 864/656 is

LCM of Numerators i.e. for 54,812,864 is 175392

GCF of denominators i.e. for 129,917,656 is 1.

Thus, LCM of Fractions is 175392.Finally, LCM of Fractions for 54/129, 812/917, 864/656 is 175392.