Least Common Multiple of 268/654, 885/960, 597/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/654, 885/960, 597/651 quickly i.e. 15732940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/654, 885/960, 597/651 is 15732940.

LCM(268/654, 885/960, 597/651) = 15732940

LCM of 268/654, 885/960, 597/651

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 268/654,885/960,597/651

Given numbers are 268/654,885/960,597/651

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 268,885,597

Least Common Multiple of Numerators i.e. LCM of 268,885,597 is 47198820.

GCF of Denominators means GCF of 654,960,651 as per the given fractions.

GCF of 654,960,651 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,885,597

LCM of Fractions 268/654,885/960,597/651 is 15732940

3 268, 885, 597
268, 295, 199

∴ So the LCM of the given numbers is 3 x 268 x 295 x 199 = 47198820

Least Common Multiple of 268,885,597 with GCF Formula

Least Common Multiple of 268,885,597 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 268,885,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,885,597) = 1

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

GCF(268,885,597) x common factors =1 x 3 = 3

LCM(268,885,597) = ( 268 × 885 × 597 ) / 3

LCM(268,885,597) = 141596460 / 3

LCM(268,885,597) = 47198820


Lets's calculate GCF of 654,960,651

3 654, 960, 651
218, 320, 217

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47198820/3

Therefore the LCM of Fractions 268/654,885/960,597/651 is 15732940

Greatest Common Factor of 654,960,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,960,651 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 654,960,651 . The biggest common factor number is the GCF number.
So the greatest common factor 654,960,651 is 3.


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 268/654, 885/960, 597/651

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 268/654, 885/960, 597/651?

Answer: LCM of Numerators as per given numbers 268/654, 885/960, 597/651 is

LCM of Numerators i.e. for 268,885,597 is 47198820

GCF of denominators i.e. for 654,960,651 is 3.

Thus, LCM of Fractions is 15732940.Finally, LCM of Fractions for 268/654, 885/960, 597/651 is 15732940.