Least Common Multiple of 969/75, 688/43, 539/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/75, 688/43, 539/20 quickly i.e. 359336208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/75, 688/43, 539/20 is 359336208.

LCM(969/75, 688/43, 539/20) = 359336208

LCM of 969/75, 688/43, 539/20

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 969/75,688/43,539/20

Given numbers are 969/75,688/43,539/20

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 969,688,539

Least Common Multiple of Numerators i.e. LCM of 969,688,539 is 359336208.

GCF of Denominators means GCF of 75,43,20 as per the given fractions.

GCF of 75,43,20 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,688,539

LCM of Fractions 969/75,688/43,539/20 is 359336208

Given numbers has no common factors except 1. So, there LCM is their product i.e 359336208

Least Common Multiple of 969,688,539 with GCF Formula

Least Common Multiple of 969,688,539 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 969,688,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,688,539) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(969,688,539) x common factors =1 x 1 = 1

LCM(969,688,539) = ( 969 × 688 × 539 ) / 1

LCM(969,688,539) = 359336208 / 1

LCM(969,688,539) = 359336208


Lets's calculate GCF of 75,43,20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359336208/1

Therefore the LCM of Fractions 969/75,688/43,539/20 is 359336208

Greatest Common Factor of 75,43,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,43,20 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 20

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

1,2,4,5,10,20

Greatest Common Factor

We found the factors 75,43,20 . The biggest common factor number is the GCF number.
So the greatest common factor 75,43,20 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 969/75, 688/43, 539/20

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 969/75, 688/43, 539/20?

Answer: LCM of Numerators as per given numbers 969/75, 688/43, 539/20 is

LCM of Numerators i.e. for 969,688,539 is 359336208

GCF of denominators i.e. for 75,43,20 is 1.

Thus, LCM of Fractions is 359336208.Finally, LCM of Fractions for 969/75, 688/43, 539/20 is 359336208.