Least Common Multiple of 40/687, 176/957, 460/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/687, 176/957, 460/759 quickly i.e. 20240/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/687, 176/957, 460/759 is 20240/3.

LCM(40/687, 176/957, 460/759) = 20240/3

LCM of 40/687, 176/957, 460/759

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 40/687,176/957,460/759

Given numbers are 40/687,176/957,460/759

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 40,176,460

Least Common Multiple of Numerators i.e. LCM of 40,176,460 is 20240.

GCF of Denominators means GCF of 687,957,759 as per the given fractions.

GCF of 687,957,759 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,176,460

LCM of Fractions 40/687,176/957,460/759 is 20240/3

2 40, 176, 460
2 20, 88, 230
2 10, 44, 115
5 5, 22, 115
1, 22, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 22 x 23 = 20240

Least Common Multiple of 40,176,460 with GCF Formula

Least Common Multiple of 40,176,460 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 40,176,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,176,460) = 4

common factors(in case of two or more numbers have common factors) = 40

GCF(40,176,460) x common factors =4 x 40 = 160

LCM(40,176,460) = ( 40 × 176 × 460 ) / 160

LCM(40,176,460) = 3238400 / 160

LCM(40,176,460) = 20240


Lets's calculate GCF of 687,957,759

3 687, 957, 759
229, 319, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20240/3

Therefore the LCM of Fractions 40/687,176/957,460/759 is 20240/3

Greatest Common Factor of 687,957,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,957,759 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 687,957,759 . The biggest common factor number is the GCF number.
So the greatest common factor 687,957,759 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 40/687, 176/957, 460/759

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 40/687, 176/957, 460/759?

Answer: LCM of Numerators as per given numbers 40/687, 176/957, 460/759 is

LCM of Numerators i.e. for 40,176,460 is 20240

GCF of denominators i.e. for 687,957,759 is 3.

Thus, LCM of Fractions is 20240/3.Finally, LCM of Fractions for 40/687, 176/957, 460/759 is 20240/3.