Least Common Multiple of 59/142, 2328/5620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/142, 2328/5620 quickly i.e. 68676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/142, 2328/5620 is 68676.

LCM(59/142, 2328/5620) = 68676

LCM of 59/142, 2328/5620

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 59/142,2328/5620

Given numbers are 59/142,2328/5620

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 59,2328

Least Common Multiple of Numerators i.e. LCM of 59,2328 is 137352.

GCF of Denominators means GCF of 142,5620 as per the given fractions.

GCF of 142,5620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,2328

LCM of Fractions 59/142,2328/5620 is 68676

Given numbers has no common factors except 1. So, there LCM is their product i.e 137352

Least Common Multiple of 59,2328 with GCF Formula

Least Common Multiple of 59,2328 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 59,2328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,2328) = 1

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

GCF(59,2328) x common factors =1 x 1 = 1

LCM(59,2328) = ( 59 × 2328 ) / 1

LCM(59,2328) = 137352 / 1

LCM(59,2328) = 137352


Lets's calculate GCF of 142,5620

2 142, 5620
71, 2810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137352/2

Therefore the LCM of Fractions 59/142,2328/5620 is 68676

Greatest Common Factor of 142,5620 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,5620 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 5620

List of positive integer factors of 5620 that divides 5620 without a remainder.

1,2,4,5,10,20,281,562,1124,1405,2810,5620

Greatest Common Factor

We found the factors 142,5620 . The biggest common factor number is the GCF number.
So the greatest common factor 142,5620 is 2.


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 59/142, 2328/5620

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 59/142, 2328/5620?

Answer: LCM of Numerators as per given numbers 59/142, 2328/5620 is

LCM of Numerators i.e. for 59,2328 is 137352

GCF of denominators i.e. for 142,5620 is 2.

Thus, LCM of Fractions is 68676.Finally, LCM of Fractions for 59/142, 2328/5620 is 68676.