Least Common Multiple of 20/831, 306/508, 679/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/831, 306/508, 679/622 quickly i.e. 2077740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/831, 306/508, 679/622 is 2077740.

LCM(20/831, 306/508, 679/622) = 2077740

LCM of 20/831, 306/508, 679/622

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 20/831,306/508,679/622

Given numbers are 20/831,306/508,679/622

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 20,306,679

Least Common Multiple of Numerators i.e. LCM of 20,306,679 is 2077740.

GCF of Denominators means GCF of 831,508,622 as per the given fractions.

GCF of 831,508,622 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,306,679

LCM of Fractions 20/831,306/508,679/622 is 2077740

2 20, 306, 679
10, 153, 679

∴ So the LCM of the given numbers is 2 x 10 x 153 x 679 = 2077740

Least Common Multiple of 20,306,679 with GCF Formula

Least Common Multiple of 20,306,679 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 20,306,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,306,679) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,306,679) x common factors =1 x 2 = 2

LCM(20,306,679) = ( 20 × 306 × 679 ) / 2

LCM(20,306,679) = 4155480 / 2

LCM(20,306,679) = 2077740


Lets's calculate GCF of 831,508,622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2077740/1

Therefore the LCM of Fractions 20/831,306/508,679/622 is 2077740

Greatest Common Factor of 831,508,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,508,622 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 831,508,622 . The biggest common factor number is the GCF number.
So the greatest common factor 831,508,622 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 20/831, 306/508, 679/622

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 20/831, 306/508, 679/622?

Answer: LCM of Numerators as per given numbers 20/831, 306/508, 679/622 is

LCM of Numerators i.e. for 20,306,679 is 2077740

GCF of denominators i.e. for 831,508,622 is 1.

Thus, LCM of Fractions is 2077740.Finally, LCM of Fractions for 20/831, 306/508, 679/622 is 2077740.