Least Common Multiple of 972/59, 879/11, 704/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/59, 879/11, 704/817 quickly i.e. 50124096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/59, 879/11, 704/817 is 50124096.

LCM(972/59, 879/11, 704/817) = 50124096

LCM of 972/59, 879/11, 704/817

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 972/59,879/11,704/817

Given numbers are 972/59,879/11,704/817

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 972,879,704

Least Common Multiple of Numerators i.e. LCM of 972,879,704 is 50124096.

GCF of Denominators means GCF of 59,11,817 as per the given fractions.

GCF of 59,11,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,879,704

LCM of Fractions 972/59,879/11,704/817 is 50124096

2 972, 879, 704
2 486, 879, 352
3 243, 879, 176
81, 293, 176

∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 293 x 176 = 50124096

Least Common Multiple of 972,879,704 with GCF Formula

Least Common Multiple of 972,879,704 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 972,879,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,879,704) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(972,879,704) x common factors =1 x 12 = 12

LCM(972,879,704) = ( 972 × 879 × 704 ) / 12

LCM(972,879,704) = 601489152 / 12

LCM(972,879,704) = 50124096


Lets's calculate GCF of 59,11,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50124096/1

Therefore the LCM of Fractions 972/59,879/11,704/817 is 50124096

Greatest Common Factor of 59,11,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,11,817 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 59,11,817 . The biggest common factor number is the GCF number.
So the greatest common factor 59,11,817 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 972/59, 879/11, 704/817

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 972/59, 879/11, 704/817?

Answer: LCM of Numerators as per given numbers 972/59, 879/11, 704/817 is

LCM of Numerators i.e. for 972,879,704 is 50124096

GCF of denominators i.e. for 59,11,817 is 1.

Thus, LCM of Fractions is 50124096.Finally, LCM of Fractions for 972/59, 879/11, 704/817 is 50124096.