Least Common Multiple of 940/565, 636/757, 901/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 940/565, 636/757, 901/212 quickly i.e. 2540820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 940/565, 636/757, 901/212 is 2540820.

LCM(940/565, 636/757, 901/212) = 2540820

LCM of 940/565, 636/757, 901/212

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 940/565,636/757,901/212

Given numbers are 940/565,636/757,901/212

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 940,636,901

Least Common Multiple of Numerators i.e. LCM of 940,636,901 is 2540820.

GCF of Denominators means GCF of 565,757,212 as per the given fractions.

GCF of 565,757,212 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 940,636,901

LCM of Fractions 940/565,636/757,901/212 is 2540820

2 940, 636, 901
2 470, 318, 901
53 235, 159, 901
235, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 53 x 235 x 3 x 17 = 2540820

Least Common Multiple of 940,636,901 with GCF Formula

Least Common Multiple of 940,636,901 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 940,636,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,636,901) = 1

common factors(in case of two or more numbers have common factors) = 212

GCF(940,636,901) x common factors =1 x 212 = 212

LCM(940,636,901) = ( 940 × 636 × 901 ) / 212

LCM(940,636,901) = 538653840 / 212

LCM(940,636,901) = 2540820


Lets's calculate GCF of 565,757,212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2540820/1

Therefore the LCM of Fractions 940/565,636/757,901/212 is 2540820

Greatest Common Factor of 565,757,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,757,212 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 565,757,212 . The biggest common factor number is the GCF number.
So the greatest common factor 565,757,212 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 940/565, 636/757, 901/212

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 940/565, 636/757, 901/212?

Answer: LCM of Numerators as per given numbers 940/565, 636/757, 901/212 is

LCM of Numerators i.e. for 940,636,901 is 2540820

GCF of denominators i.e. for 565,757,212 is 1.

Thus, LCM of Fractions is 2540820.Finally, LCM of Fractions for 940/565, 636/757, 901/212 is 2540820.