Least Common Multiple of 8610/572, 6932/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8610/572, 6932/429 quickly i.e. 29842260/143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8610/572, 6932/429 is 29842260/143.

LCM(8610/572, 6932/429) = 29842260/143

LCM of 8610/572, 6932/429

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 8610/572,6932/429

Given numbers are 8610/572,6932/429

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 8610,6932

Least Common Multiple of Numerators i.e. LCM of 8610,6932 is 29842260.

GCF of Denominators means GCF of 572,429 as per the given fractions.

GCF of 572,429 is 143 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8610,6932

LCM of Fractions 8610/572,6932/429 is 29842260/143

2 8610, 6932
4305, 3466

∴ So the LCM of the given numbers is 2 x 4305 x 3466 = 29842260

Least Common Multiple of 8610,6932 with GCF Formula

Least Common Multiple of 8610,6932 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 8610,6932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8610,6932) = 2

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

GCF(8610,6932) x common factors =2 x 1 = 2

LCM(8610,6932) = ( 8610 × 6932 ) / 2

LCM(8610,6932) = 59684520 / 2

LCM(8610,6932) = 29842260


Lets's calculate GCF of 572,429

11 572, 429
13 52, 39
4, 3

∴ So the GCF of the given numbers is 11 x 13 = 143

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29842260/143

Therefore the LCM of Fractions 8610/572,6932/429 is 29842260/143

Greatest Common Factor of 572,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,429 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 572,429 . The biggest common factor number is the GCF number.
So the greatest common factor 572,429 is 143.


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 8610/572, 6932/429

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 8610/572, 6932/429?

Answer: LCM of Numerators as per given numbers 8610/572, 6932/429 is

LCM of Numerators i.e. for 8610,6932 is 29842260

GCF of denominators i.e. for 572,429 is 143.

Thus, LCM of Fractions is 29842260/143.Finally, LCM of Fractions for 8610/572, 6932/429 is 29842260/143.