Least Common Multiple of 143/325, 429/468, 581/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 143/325, 429/468, 581/123 quickly i.e. 249249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/325, 429/468, 581/123 is 249249.

LCM(143/325, 429/468, 581/123) = 249249

LCM of 143/325, 429/468, 581/123

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 143/325,429/468,581/123

Given numbers are 143/325,429/468,581/123

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 143,429,581

Least Common Multiple of Numerators i.e. LCM of 143,429,581 is 249249.

GCF of Denominators means GCF of 325,468,123 as per the given fractions.

GCF of 325,468,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,429,581

LCM of Fractions 143/325,429/468,581/123 is 249249

11 143, 429, 581
13 13, 39, 581
1, 3, 581

∴ So the LCM of the given numbers is 11 x 13 x 1 x 3 x 581 = 249249

Least Common Multiple of 143,429,581 with GCF Formula

Least Common Multiple of 143,429,581 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 143,429,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,429,581) = 1

common factors(in case of two or more numbers have common factors) = 143

GCF(143,429,581) x common factors =1 x 143 = 143

LCM(143,429,581) = ( 143 × 429 × 581 ) / 143

LCM(143,429,581) = 35642607 / 143

LCM(143,429,581) = 249249


Lets's calculate GCF of 325,468,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249249/1

Therefore the LCM of Fractions 143/325,429/468,581/123 is 249249

Greatest Common Factor of 325,468,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,468,123 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 325,468,123 . The biggest common factor number is the GCF number.
So the greatest common factor 325,468,123 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 143/325, 429/468, 581/123

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 143/325, 429/468, 581/123?

Answer: LCM of Numerators as per given numbers 143/325, 429/468, 581/123 is

LCM of Numerators i.e. for 143,429,581 is 249249

GCF of denominators i.e. for 325,468,123 is 1.

Thus, LCM of Fractions is 249249.Finally, LCM of Fractions for 143/325, 429/468, 581/123 is 249249.