Least Common Multiple of 54/698, 960/671, 324/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/698, 960/671, 324/788 quickly i.e. 25920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/698, 960/671, 324/788 is 25920.

LCM(54/698, 960/671, 324/788) = 25920

LCM of 54/698, 960/671, 324/788

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 54/698,960/671,324/788

Given numbers are 54/698,960/671,324/788

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 54,960,324

Least Common Multiple of Numerators i.e. LCM of 54,960,324 is 25920.

GCF of Denominators means GCF of 698,671,788 as per the given fractions.

GCF of 698,671,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,960,324

LCM of Fractions 54/698,960/671,324/788 is 25920

2 54, 960, 324
2 27, 480, 162
3 27, 240, 81
3 9, 80, 27
3 3, 80, 9
1, 80, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 80 x 3 = 25920

Least Common Multiple of 54,960,324 with GCF Formula

Least Common Multiple of 54,960,324 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 54,960,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,960,324) = 6

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

GCF(54,960,324) x common factors =6 x 108 = 648

LCM(54,960,324) = ( 54 × 960 × 324 ) / 648

LCM(54,960,324) = 16796160 / 648

LCM(54,960,324) = 25920


Lets's calculate GCF of 698,671,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25920/1

Therefore the LCM of Fractions 54/698,960/671,324/788 is 25920

Greatest Common Factor of 698,671,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,671,788 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 698,671,788 . The biggest common factor number is the GCF number.
So the greatest common factor 698,671,788 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 54/698, 960/671, 324/788

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 54/698, 960/671, 324/788?

Answer: LCM of Numerators as per given numbers 54/698, 960/671, 324/788 is

LCM of Numerators i.e. for 54,960,324 is 25920

GCF of denominators i.e. for 698,671,788 is 1.

Thus, LCM of Fractions is 25920.Finally, LCM of Fractions for 54/698, 960/671, 324/788 is 25920.