Least Common Multiple of 21/788, 5868/5780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/788, 5868/5780 quickly i.e. 10269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/788, 5868/5780 is 10269.

LCM(21/788, 5868/5780) = 10269

LCM of 21/788, 5868/5780

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 21/788,5868/5780

Given numbers are 21/788,5868/5780

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 21,5868

Least Common Multiple of Numerators i.e. LCM of 21,5868 is 41076.

GCF of Denominators means GCF of 788,5780 as per the given fractions.

GCF of 788,5780 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,5868

LCM of Fractions 21/788,5868/5780 is 10269

3 21, 5868
7, 1956

∴ So the LCM of the given numbers is 3 x 7 x 1956 = 41076

Least Common Multiple of 21,5868 with GCF Formula

Least Common Multiple of 21,5868 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 21,5868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,5868) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(21,5868) x common factors =3 x 1 = 3

LCM(21,5868) = ( 21 × 5868 ) / 3

LCM(21,5868) = 123228 / 3

LCM(21,5868) = 41076


Lets's calculate GCF of 788,5780

2 788, 5780
2 394, 2890
197, 1445

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41076/4

Therefore the LCM of Fractions 21/788,5868/5780 is 10269

Greatest Common Factor of 788,5780 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,5780 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780

Greatest Common Factor

We found the factors 788,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 788,5780 is 4.


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 21/788, 5868/5780

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 21/788, 5868/5780?

Answer: LCM of Numerators as per given numbers 21/788, 5868/5780 is

LCM of Numerators i.e. for 21,5868 is 41076

GCF of denominators i.e. for 788,5780 is 4.

Thus, LCM of Fractions is 10269.Finally, LCM of Fractions for 21/788, 5868/5780 is 10269.