Least Common Multiple of 657/787, 589/281, 760/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 657/787, 589/281, 760/730 quickly i.e. 15478920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 657/787, 589/281, 760/730 is 15478920.

LCM(657/787, 589/281, 760/730) = 15478920

LCM of 657/787, 589/281, 760/730

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 657/787,589/281,760/730

Given numbers are 657/787,589/281,760/730

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 657,589,760

Least Common Multiple of Numerators i.e. LCM of 657,589,760 is 15478920.

GCF of Denominators means GCF of 787,281,730 as per the given fractions.

GCF of 787,281,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 657,589,760

LCM of Fractions 657/787,589/281,760/730 is 15478920

19 657, 589, 760
657, 31, 40

∴ So the LCM of the given numbers is 19 x 657 x 31 x 40 = 15478920

Least Common Multiple of 657,589,760 with GCF Formula

Least Common Multiple of 657,589,760 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 657,589,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,589,760) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(657,589,760) x common factors =1 x 19 = 19

LCM(657,589,760) = ( 657 × 589 × 760 ) / 19

LCM(657,589,760) = 294099480 / 19

LCM(657,589,760) = 15478920


Lets's calculate GCF of 787,281,730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15478920/1

Therefore the LCM of Fractions 657/787,589/281,760/730 is 15478920

Greatest Common Factor of 787,281,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,281,730 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 787,281,730 . The biggest common factor number is the GCF number.
So the greatest common factor 787,281,730 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 657/787, 589/281, 760/730

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 657/787, 589/281, 760/730?

Answer: LCM of Numerators as per given numbers 657/787, 589/281, 760/730 is

LCM of Numerators i.e. for 657,589,760 is 15478920

GCF of denominators i.e. for 787,281,730 is 1.

Thus, LCM of Fractions is 15478920.Finally, LCM of Fractions for 657/787, 589/281, 760/730 is 15478920.