Least Common Multiple of 108/225, 142/757, 590/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/225, 142/757, 590/602 quickly i.e. 2262060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/225, 142/757, 590/602 is 2262060.

LCM(108/225, 142/757, 590/602) = 2262060

LCM of 108/225, 142/757, 590/602

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 108/225,142/757,590/602

Given numbers are 108/225,142/757,590/602

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 108,142,590

Least Common Multiple of Numerators i.e. LCM of 108,142,590 is 2262060.

GCF of Denominators means GCF of 225,757,602 as per the given fractions.

GCF of 225,757,602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,142,590

LCM of Fractions 108/225,142/757,590/602 is 2262060

2 108, 142, 590
54, 71, 295

∴ So the LCM of the given numbers is 2 x 54 x 71 x 295 = 2262060

Least Common Multiple of 108,142,590 with GCF Formula

Least Common Multiple of 108,142,590 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 108,142,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,142,590) = 2

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

GCF(108,142,590) x common factors =2 x 2 = 4

LCM(108,142,590) = ( 108 × 142 × 590 ) / 4

LCM(108,142,590) = 9048240 / 4

LCM(108,142,590) = 2262060


Lets's calculate GCF of 225,757,602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2262060/1

Therefore the LCM of Fractions 108/225,142/757,590/602 is 2262060

Greatest Common Factor of 225,757,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,757,602 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 225,757,602 . The biggest common factor number is the GCF number.
So the greatest common factor 225,757,602 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 108/225, 142/757, 590/602

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 108/225, 142/757, 590/602?

Answer: LCM of Numerators as per given numbers 108/225, 142/757, 590/602 is

LCM of Numerators i.e. for 108,142,590 is 2262060

GCF of denominators i.e. for 225,757,602 is 1.

Thus, LCM of Fractions is 2262060.Finally, LCM of Fractions for 108/225, 142/757, 590/602 is 2262060.