Least Common Multiple of 28/899, 5406/7517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/899, 5406/7517 quickly i.e. 75684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/899, 5406/7517 is 75684.

LCM(28/899, 5406/7517) = 75684

LCM of 28/899, 5406/7517

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 28/899,5406/7517

Given numbers are 28/899,5406/7517

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 28,5406

Least Common Multiple of Numerators i.e. LCM of 28,5406 is 75684.

GCF of Denominators means GCF of 899,7517 as per the given fractions.

GCF of 899,7517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,5406

LCM of Fractions 28/899,5406/7517 is 75684

2 28, 5406
14, 2703

∴ So the LCM of the given numbers is 2 x 14 x 2703 = 75684

Least Common Multiple of 28,5406 with GCF Formula

Least Common Multiple of 28,5406 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 28,5406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,5406) = 2

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

GCF(28,5406) x common factors =2 x 1 = 2

LCM(28,5406) = ( 28 × 5406 ) / 2

LCM(28,5406) = 151368 / 2

LCM(28,5406) = 75684


Lets's calculate GCF of 899,7517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75684/1

Therefore the LCM of Fractions 28/899,5406/7517 is 75684

Greatest Common Factor of 899,7517 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,7517 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 7517

List of positive integer factors of 7517 that divides 7517 without a remainder.

1,7517

Greatest Common Factor

We found the factors 899,7517 . The biggest common factor number is the GCF number.
So the greatest common factor 899,7517 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/899, 5406/7517

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 28/899, 5406/7517?

Answer: LCM of Numerators as per given numbers 28/899, 5406/7517 is

LCM of Numerators i.e. for 28,5406 is 75684

GCF of denominators i.e. for 899,7517 is 1.

Thus, LCM of Fractions is 75684.Finally, LCM of Fractions for 28/899, 5406/7517 is 75684.