Least Common Multiple of 25/568, 5795/2528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/568, 5795/2528 quickly i.e. 28975/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/568, 5795/2528 is 28975/8.

LCM(25/568, 5795/2528) = 28975/8

LCM of 25/568, 5795/2528

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 25/568,5795/2528

Given numbers are 25/568,5795/2528

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 25,5795

Least Common Multiple of Numerators i.e. LCM of 25,5795 is 28975.

GCF of Denominators means GCF of 568,2528 as per the given fractions.

GCF of 568,2528 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,5795

LCM of Fractions 25/568,5795/2528 is 28975/8

5 25, 5795
5, 1159

∴ So the LCM of the given numbers is 5 x 5 x 1159 = 28975

Least Common Multiple of 25,5795 with GCF Formula

Least Common Multiple of 25,5795 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 25,5795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,5795) = 5

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

GCF(25,5795) x common factors =5 x 1 = 5

LCM(25,5795) = ( 25 × 5795 ) / 5

LCM(25,5795) = 144875 / 5

LCM(25,5795) = 28975


Lets's calculate GCF of 568,2528

2 568, 2528
2 284, 1264
2 142, 632
71, 316

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28975/8

Therefore the LCM of Fractions 25/568,5795/2528 is 28975/8

Greatest Common Factor of 568,2528 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,2528 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 2528

List of positive integer factors of 2528 that divides 2528 without a remainder.

1,2,4,8,16,32,79,158,316,632,1264,2528

Greatest Common Factor

We found the factors 568,2528 . The biggest common factor number is the GCF number.
So the greatest common factor 568,2528 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/568, 5795/2528

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 25/568, 5795/2528?

Answer: LCM of Numerators as per given numbers 25/568, 5795/2528 is

LCM of Numerators i.e. for 25,5795 is 28975

GCF of denominators i.e. for 568,2528 is 8.

Thus, LCM of Fractions is 28975/8.Finally, LCM of Fractions for 25/568, 5795/2528 is 28975/8.