Least Common Multiple of 634/20, 531/51, 105/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 634/20, 531/51, 105/715 quickly i.e. 11782890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/20, 531/51, 105/715 is 11782890.

LCM(634/20, 531/51, 105/715) = 11782890

LCM of 634/20, 531/51, 105/715

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 634/20,531/51,105/715

Given numbers are 634/20,531/51,105/715

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 634,531,105

Least Common Multiple of Numerators i.e. LCM of 634,531,105 is 11782890.

GCF of Denominators means GCF of 20,51,715 as per the given fractions.

GCF of 20,51,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,531,105

LCM of Fractions 634/20,531/51,105/715 is 11782890

3 634, 531, 105
634, 177, 35

∴ So the LCM of the given numbers is 3 x 634 x 177 x 35 = 11782890

Least Common Multiple of 634,531,105 with GCF Formula

Least Common Multiple of 634,531,105 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 634,531,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,531,105) = 1

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

GCF(634,531,105) x common factors =1 x 3 = 3

LCM(634,531,105) = ( 634 × 531 × 105 ) / 3

LCM(634,531,105) = 35348670 / 3

LCM(634,531,105) = 11782890


Lets's calculate GCF of 20,51,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11782890/1

Therefore the LCM of Fractions 634/20,531/51,105/715 is 11782890

Greatest Common Factor of 20,51,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,51,715 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 20,51,715 . The biggest common factor number is the GCF number.
So the greatest common factor 20,51,715 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 634/20, 531/51, 105/715

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 634/20, 531/51, 105/715?

Answer: LCM of Numerators as per given numbers 634/20, 531/51, 105/715 is

LCM of Numerators i.e. for 634,531,105 is 11782890

GCF of denominators i.e. for 20,51,715 is 1.

Thus, LCM of Fractions is 11782890.Finally, LCM of Fractions for 634/20, 531/51, 105/715 is 11782890.