Least Common Multiple of 568/60, 339/7148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 568/60, 339/7148 quickly i.e. 48138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 568/60, 339/7148 is 48138.

LCM(568/60, 339/7148) = 48138

LCM of 568/60, 339/7148

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 568/60,339/7148

Given numbers are 568/60,339/7148

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 568,339

Least Common Multiple of Numerators i.e. LCM of 568,339 is 192552.

GCF of Denominators means GCF of 60,7148 as per the given fractions.

GCF of 60,7148 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 568,339

LCM of Fractions 568/60,339/7148 is 48138

Given numbers has no common factors except 1. So, there LCM is their product i.e 192552

Least Common Multiple of 568,339 with GCF Formula

Least Common Multiple of 568,339 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 568,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,339) = 1

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

GCF(568,339) x common factors =1 x 1 = 1

LCM(568,339) = ( 568 × 339 ) / 1

LCM(568,339) = 192552 / 1

LCM(568,339) = 192552


Lets's calculate GCF of 60,7148

2 60, 7148
2 30, 3574
15, 1787

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192552/4

Therefore the LCM of Fractions 568/60,339/7148 is 48138

Greatest Common Factor of 60,7148 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,7148 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1,2,4,1787,3574,7148

Greatest Common Factor

We found the factors 60,7148 . The biggest common factor number is the GCF number.
So the greatest common factor 60,7148 is 4.


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 568/60, 339/7148

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 568/60, 339/7148?

Answer: LCM of Numerators as per given numbers 568/60, 339/7148 is

LCM of Numerators i.e. for 568,339 is 192552

GCF of denominators i.e. for 60,7148 is 4.

Thus, LCM of Fractions is 48138.Finally, LCM of Fractions for 568/60, 339/7148 is 48138.