Least Common Multiple of 54/78, 43/618, 597/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/78, 43/618, 597/688 quickly i.e. 231039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/78, 43/618, 597/688 is 231039.

LCM(54/78, 43/618, 597/688) = 231039

LCM of 54/78, 43/618, 597/688

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 54/78,43/618,597/688

Given numbers are 54/78,43/618,597/688

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 54,43,597

Least Common Multiple of Numerators i.e. LCM of 54,43,597 is 462078.

GCF of Denominators means GCF of 78,618,688 as per the given fractions.

GCF of 78,618,688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,43,597

LCM of Fractions 54/78,43/618,597/688 is 231039

3 54, 43, 597
18, 43, 199

∴ So the LCM of the given numbers is 3 x 18 x 43 x 199 = 462078

Least Common Multiple of 54,43,597 with GCF Formula

Least Common Multiple of 54,43,597 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 54,43,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,43,597) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,43,597) x common factors =1 x 3 = 3

LCM(54,43,597) = ( 54 × 43 × 597 ) / 3

LCM(54,43,597) = 1386234 / 3

LCM(54,43,597) = 462078


Lets's calculate GCF of 78,618,688

2 78, 618, 688
39, 309, 344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462078/2

Therefore the LCM of Fractions 54/78,43/618,597/688 is 231039

Greatest Common Factor of 78,618,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,618,688 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 78,618,688 . The biggest common factor number is the GCF number.
So the greatest common factor 78,618,688 is 2.


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 54/78, 43/618, 597/688

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 54/78, 43/618, 597/688?

Answer: LCM of Numerators as per given numbers 54/78, 43/618, 597/688 is

LCM of Numerators i.e. for 54,43,597 is 462078

GCF of denominators i.e. for 78,618,688 is 2.

Thus, LCM of Fractions is 231039.Finally, LCM of Fractions for 54/78, 43/618, 597/688 is 231039.