Least Common Multiple of 289/10, 844/79, 531/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 289/10, 844/79, 531/572 quickly i.e. 129519396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/10, 844/79, 531/572 is 129519396.

LCM(289/10, 844/79, 531/572) = 129519396

LCM of 289/10, 844/79, 531/572

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 289/10,844/79,531/572

Given numbers are 289/10,844/79,531/572

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 289,844,531

Least Common Multiple of Numerators i.e. LCM of 289,844,531 is 129519396.

GCF of Denominators means GCF of 10,79,572 as per the given fractions.

GCF of 10,79,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,844,531

LCM of Fractions 289/10,844/79,531/572 is 129519396

Given numbers has no common factors except 1. So, there LCM is their product i.e 129519396

Least Common Multiple of 289,844,531 with GCF Formula

Least Common Multiple of 289,844,531 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 289,844,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,844,531) = 1

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

GCF(289,844,531) x common factors =1 x 1 = 1

LCM(289,844,531) = ( 289 × 844 × 531 ) / 1

LCM(289,844,531) = 129519396 / 1

LCM(289,844,531) = 129519396


Lets's calculate GCF of 10,79,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129519396/1

Therefore the LCM of Fractions 289/10,844/79,531/572 is 129519396

Greatest Common Factor of 10,79,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,79,572 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 10,79,572 . The biggest common factor number is the GCF number.
So the greatest common factor 10,79,572 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 289/10, 844/79, 531/572

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 289/10, 844/79, 531/572?

Answer: LCM of Numerators as per given numbers 289/10, 844/79, 531/572 is

LCM of Numerators i.e. for 289,844,531 is 129519396

GCF of denominators i.e. for 10,79,572 is 1.

Thus, LCM of Fractions is 129519396.Finally, LCM of Fractions for 289/10, 844/79, 531/572 is 129519396.