Least Common Multiple of 321/24, 883/38, 420/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/24, 883/38, 420/529 quickly i.e. 39682020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/24, 883/38, 420/529 is 39682020.

LCM(321/24, 883/38, 420/529) = 39682020

LCM of 321/24, 883/38, 420/529

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 321/24,883/38,420/529

Given numbers are 321/24,883/38,420/529

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 321,883,420

Least Common Multiple of Numerators i.e. LCM of 321,883,420 is 39682020.

GCF of Denominators means GCF of 24,38,529 as per the given fractions.

GCF of 24,38,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,883,420

LCM of Fractions 321/24,883/38,420/529 is 39682020

3 321, 883, 420
107, 883, 140

∴ So the LCM of the given numbers is 3 x 107 x 883 x 140 = 39682020

Least Common Multiple of 321,883,420 with GCF Formula

Least Common Multiple of 321,883,420 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 321,883,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,883,420) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(321,883,420) x common factors =1 x 3 = 3

LCM(321,883,420) = ( 321 × 883 × 420 ) / 3

LCM(321,883,420) = 119046060 / 3

LCM(321,883,420) = 39682020


Lets's calculate GCF of 24,38,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39682020/1

Therefore the LCM of Fractions 321/24,883/38,420/529 is 39682020

Greatest Common Factor of 24,38,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,38,529 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 24,38,529 . The biggest common factor number is the GCF number.
So the greatest common factor 24,38,529 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 321/24, 883/38, 420/529

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 321/24, 883/38, 420/529?

Answer: LCM of Numerators as per given numbers 321/24, 883/38, 420/529 is

LCM of Numerators i.e. for 321,883,420 is 39682020

GCF of denominators i.e. for 24,38,529 is 1.

Thus, LCM of Fractions is 39682020.Finally, LCM of Fractions for 321/24, 883/38, 420/529 is 39682020.