Least Common Multiple of 20/916, 759/414, 992/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/916, 759/414, 992/722 quickly i.e. 1882320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/916, 759/414, 992/722 is 1882320.

LCM(20/916, 759/414, 992/722) = 1882320

LCM of 20/916, 759/414, 992/722

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 20/916,759/414,992/722

Given numbers are 20/916,759/414,992/722

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 20,759,992

Least Common Multiple of Numerators i.e. LCM of 20,759,992 is 3764640.

GCF of Denominators means GCF of 916,414,722 as per the given fractions.

GCF of 916,414,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,759,992

LCM of Fractions 20/916,759/414,992/722 is 1882320

2 20, 759, 992
2 10, 759, 496
5, 759, 248

∴ So the LCM of the given numbers is 2 x 2 x 5 x 759 x 248 = 3764640

Least Common Multiple of 20,759,992 with GCF Formula

Least Common Multiple of 20,759,992 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 20,759,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,759,992) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,759,992) x common factors =1 x 4 = 4

LCM(20,759,992) = ( 20 × 759 × 992 ) / 4

LCM(20,759,992) = 15058560 / 4

LCM(20,759,992) = 3764640


Lets's calculate GCF of 916,414,722

2 916, 414, 722
458, 207, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3764640/2

Therefore the LCM of Fractions 20/916,759/414,992/722 is 1882320

Greatest Common Factor of 916,414,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,414,722 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 916,414,722 . The biggest common factor number is the GCF number.
So the greatest common factor 916,414,722 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 20/916, 759/414, 992/722

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 20/916, 759/414, 992/722?

Answer: LCM of Numerators as per given numbers 20/916, 759/414, 992/722 is

LCM of Numerators i.e. for 20,759,992 is 3764640

GCF of denominators i.e. for 916,414,722 is 2.

Thus, LCM of Fractions is 1882320.Finally, LCM of Fractions for 20/916, 759/414, 992/722 is 1882320.