Least Common Multiple of 29/21, 20/263, 832/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/21, 20/263, 832/656 quickly i.e. 120640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/21, 20/263, 832/656 is 120640.

LCM(29/21, 20/263, 832/656) = 120640

LCM of 29/21, 20/263, 832/656

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 29/21,20/263,832/656

Given numbers are 29/21,20/263,832/656

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 29,20,832

Least Common Multiple of Numerators i.e. LCM of 29,20,832 is 120640.

GCF of Denominators means GCF of 21,263,656 as per the given fractions.

GCF of 21,263,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,20,832

LCM of Fractions 29/21,20/263,832/656 is 120640

2 29, 20, 832
2 29, 10, 416
29, 5, 208

∴ So the LCM of the given numbers is 2 x 2 x 29 x 5 x 208 = 120640

Least Common Multiple of 29,20,832 with GCF Formula

Least Common Multiple of 29,20,832 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 29,20,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,20,832) = 1

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

GCF(29,20,832) x common factors =1 x 4 = 4

LCM(29,20,832) = ( 29 × 20 × 832 ) / 4

LCM(29,20,832) = 482560 / 4

LCM(29,20,832) = 120640


Lets's calculate GCF of 21,263,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120640/1

Therefore the LCM of Fractions 29/21,20/263,832/656 is 120640

Greatest Common Factor of 21,263,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,263,656 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 21,263,656 . The biggest common factor number is the GCF number.
So the greatest common factor 21,263,656 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/21, 20/263, 832/656

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 29/21, 20/263, 832/656?

Answer: LCM of Numerators as per given numbers 29/21, 20/263, 832/656 is

LCM of Numerators i.e. for 29,20,832 is 120640

GCF of denominators i.e. for 21,263,656 is 1.

Thus, LCM of Fractions is 120640.Finally, LCM of Fractions for 29/21, 20/263, 832/656 is 120640.