Least Common Multiple of 972/80, 913/29, 825/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/80, 913/29, 825/39 quickly i.e. 22185900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/80, 913/29, 825/39 is 22185900.

LCM(972/80, 913/29, 825/39) = 22185900

LCM of 972/80, 913/29, 825/39

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 972/80,913/29,825/39

Given numbers are 972/80,913/29,825/39

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 972,913,825

Least Common Multiple of Numerators i.e. LCM of 972,913,825 is 22185900.

GCF of Denominators means GCF of 80,29,39 as per the given fractions.

GCF of 80,29,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,913,825

LCM of Fractions 972/80,913/29,825/39 is 22185900

3 972, 913, 825
11 324, 913, 275
324, 83, 25

∴ So the LCM of the given numbers is 3 x 11 x 324 x 83 x 25 = 22185900

Least Common Multiple of 972,913,825 with GCF Formula

Least Common Multiple of 972,913,825 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 972,913,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,913,825) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(972,913,825) x common factors =1 x 33 = 33

LCM(972,913,825) = ( 972 × 913 × 825 ) / 33

LCM(972,913,825) = 732134700 / 33

LCM(972,913,825) = 22185900


Lets's calculate GCF of 80,29,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22185900/1

Therefore the LCM of Fractions 972/80,913/29,825/39 is 22185900

Greatest Common Factor of 80,29,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,29,39 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 80,29,39 . The biggest common factor number is the GCF number.
So the greatest common factor 80,29,39 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 972/80, 913/29, 825/39

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 972/80, 913/29, 825/39?

Answer: LCM of Numerators as per given numbers 972/80, 913/29, 825/39 is

LCM of Numerators i.e. for 972,913,825 is 22185900

GCF of denominators i.e. for 80,29,39 is 1.

Thus, LCM of Fractions is 22185900.Finally, LCM of Fractions for 972/80, 913/29, 825/39 is 22185900.