Least Common Multiple of 567/430, 408/109, 702/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/430, 408/109, 702/238 quickly i.e. 1002456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/430, 408/109, 702/238 is 1002456.

LCM(567/430, 408/109, 702/238) = 1002456

LCM of 567/430, 408/109, 702/238

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 567/430,408/109,702/238

Given numbers are 567/430,408/109,702/238

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 567,408,702

Least Common Multiple of Numerators i.e. LCM of 567,408,702 is 1002456.

GCF of Denominators means GCF of 430,109,238 as per the given fractions.

GCF of 430,109,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,408,702

LCM of Fractions 567/430,408/109,702/238 is 1002456

2 567, 408, 702
3 567, 204, 351
3 189, 68, 117
3 63, 68, 39
21, 68, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 21 x 68 x 13 = 1002456

Least Common Multiple of 567,408,702 with GCF Formula

Least Common Multiple of 567,408,702 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 567,408,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,408,702) = 3

common factors(in case of two or more numbers have common factors) = 54

GCF(567,408,702) x common factors =3 x 54 = 162

LCM(567,408,702) = ( 567 × 408 × 702 ) / 162

LCM(567,408,702) = 162397872 / 162

LCM(567,408,702) = 1002456


Lets's calculate GCF of 430,109,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1002456/1

Therefore the LCM of Fractions 567/430,408/109,702/238 is 1002456

Greatest Common Factor of 430,109,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,109,238 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 430,109,238 . The biggest common factor number is the GCF number.
So the greatest common factor 430,109,238 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 567/430, 408/109, 702/238

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 567/430, 408/109, 702/238?

Answer: LCM of Numerators as per given numbers 567/430, 408/109, 702/238 is

LCM of Numerators i.e. for 567,408,702 is 1002456

GCF of denominators i.e. for 430,109,238 is 1.

Thus, LCM of Fractions is 1002456.Finally, LCM of Fractions for 567/430, 408/109, 702/238 is 1002456.