Least Common Multiple of 771/230, 422/141, 430/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 771/230, 422/141, 430/568 quickly i.e. 69952830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 771/230, 422/141, 430/568 is 69952830.

LCM(771/230, 422/141, 430/568) = 69952830

LCM of 771/230, 422/141, 430/568

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 771/230,422/141,430/568

Given numbers are 771/230,422/141,430/568

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 771,422,430

Least Common Multiple of Numerators i.e. LCM of 771,422,430 is 69952830.

GCF of Denominators means GCF of 230,141,568 as per the given fractions.

GCF of 230,141,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 771,422,430

LCM of Fractions 771/230,422/141,430/568 is 69952830

2 771, 422, 430
771, 211, 215

∴ So the LCM of the given numbers is 2 x 771 x 211 x 215 = 69952830

Least Common Multiple of 771,422,430 with GCF Formula

Least Common Multiple of 771,422,430 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 771,422,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,422,430) = 1

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

GCF(771,422,430) x common factors =1 x 2 = 2

LCM(771,422,430) = ( 771 × 422 × 430 ) / 2

LCM(771,422,430) = 139905660 / 2

LCM(771,422,430) = 69952830


Lets's calculate GCF of 230,141,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69952830/1

Therefore the LCM of Fractions 771/230,422/141,430/568 is 69952830

Greatest Common Factor of 230,141,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,141,568 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 230,141,568 . The biggest common factor number is the GCF number.
So the greatest common factor 230,141,568 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 771/230, 422/141, 430/568

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 771/230, 422/141, 430/568?

Answer: LCM of Numerators as per given numbers 771/230, 422/141, 430/568 is

LCM of Numerators i.e. for 771,422,430 is 69952830

GCF of denominators i.e. for 230,141,568 is 1.

Thus, LCM of Fractions is 69952830.Finally, LCM of Fractions for 771/230, 422/141, 430/568 is 69952830.