Least Common Multiple of 13/578, 56/347, 302/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/578, 56/347, 302/625 quickly i.e. 109928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/578, 56/347, 302/625 is 109928.

LCM(13/578, 56/347, 302/625) = 109928

LCM of 13/578, 56/347, 302/625

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 13/578,56/347,302/625

Given numbers are 13/578,56/347,302/625

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 13,56,302

Least Common Multiple of Numerators i.e. LCM of 13,56,302 is 109928.

GCF of Denominators means GCF of 578,347,625 as per the given fractions.

GCF of 578,347,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,56,302

LCM of Fractions 13/578,56/347,302/625 is 109928

2 13, 56, 302
13, 28, 151

∴ So the LCM of the given numbers is 2 x 13 x 28 x 151 = 109928

Least Common Multiple of 13,56,302 with GCF Formula

Least Common Multiple of 13,56,302 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 13,56,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,56,302) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,56,302) x common factors =1 x 2 = 2

LCM(13,56,302) = ( 13 × 56 × 302 ) / 2

LCM(13,56,302) = 219856 / 2

LCM(13,56,302) = 109928


Lets's calculate GCF of 578,347,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109928/1

Therefore the LCM of Fractions 13/578,56/347,302/625 is 109928

Greatest Common Factor of 578,347,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,347,625 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 578,347,625 . The biggest common factor number is the GCF number.
So the greatest common factor 578,347,625 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 13/578, 56/347, 302/625

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 13/578, 56/347, 302/625?

Answer: LCM of Numerators as per given numbers 13/578, 56/347, 302/625 is

LCM of Numerators i.e. for 13,56,302 is 109928

GCF of denominators i.e. for 578,347,625 is 1.

Thus, LCM of Fractions is 109928.Finally, LCM of Fractions for 13/578, 56/347, 302/625 is 109928.