Least Common Multiple of 21/262, 849/663, 863/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/262, 849/663, 863/793 quickly i.e. 5128809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/262, 849/663, 863/793 is 5128809.

LCM(21/262, 849/663, 863/793) = 5128809

LCM of 21/262, 849/663, 863/793

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 21/262,849/663,863/793

Given numbers are 21/262,849/663,863/793

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 21,849,863

Least Common Multiple of Numerators i.e. LCM of 21,849,863 is 5128809.

GCF of Denominators means GCF of 262,663,793 as per the given fractions.

GCF of 262,663,793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,849,863

LCM of Fractions 21/262,849/663,863/793 is 5128809

3 21, 849, 863
7, 283, 863

∴ So the LCM of the given numbers is 3 x 7 x 283 x 863 = 5128809

Least Common Multiple of 21,849,863 with GCF Formula

Least Common Multiple of 21,849,863 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 21,849,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,849,863) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,849,863) x common factors =1 x 3 = 3

LCM(21,849,863) = ( 21 × 849 × 863 ) / 3

LCM(21,849,863) = 15386427 / 3

LCM(21,849,863) = 5128809


Lets's calculate GCF of 262,663,793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5128809/1

Therefore the LCM of Fractions 21/262,849/663,863/793 is 5128809

Greatest Common Factor of 262,663,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,663,793 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 262,663,793 . The biggest common factor number is the GCF number.
So the greatest common factor 262,663,793 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 21/262, 849/663, 863/793

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 21/262, 849/663, 863/793?

Answer: LCM of Numerators as per given numbers 21/262, 849/663, 863/793 is

LCM of Numerators i.e. for 21,849,863 is 5128809

GCF of denominators i.e. for 262,663,793 is 1.

Thus, LCM of Fractions is 5128809.Finally, LCM of Fractions for 21/262, 849/663, 863/793 is 5128809.