Least Common Multiple of 54/24, 21/829, 652/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/24, 21/829, 652/474 quickly i.e. 123228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/24, 21/829, 652/474 is 123228.

LCM(54/24, 21/829, 652/474) = 123228

LCM of 54/24, 21/829, 652/474

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 54/24,21/829,652/474

Given numbers are 54/24,21/829,652/474

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 54,21,652

Least Common Multiple of Numerators i.e. LCM of 54,21,652 is 123228.

GCF of Denominators means GCF of 24,829,474 as per the given fractions.

GCF of 24,829,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,21,652

LCM of Fractions 54/24,21/829,652/474 is 123228

2 54, 21, 652
3 27, 21, 326
9, 7, 326

∴ So the LCM of the given numbers is 2 x 3 x 9 x 7 x 326 = 123228

Least Common Multiple of 54,21,652 with GCF Formula

Least Common Multiple of 54,21,652 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 54,21,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,21,652) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,21,652) x common factors =1 x 6 = 6

LCM(54,21,652) = ( 54 × 21 × 652 ) / 6

LCM(54,21,652) = 739368 / 6

LCM(54,21,652) = 123228


Lets's calculate GCF of 24,829,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123228/1

Therefore the LCM of Fractions 54/24,21/829,652/474 is 123228

Greatest Common Factor of 24,829,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,829,474 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 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 24,829,474 . The biggest common factor number is the GCF number.
So the greatest common factor 24,829,474 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 54/24, 21/829, 652/474

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 54/24, 21/829, 652/474?

Answer: LCM of Numerators as per given numbers 54/24, 21/829, 652/474 is

LCM of Numerators i.e. for 54,21,652 is 123228

GCF of denominators i.e. for 24,829,474 is 1.

Thus, LCM of Fractions is 123228.Finally, LCM of Fractions for 54/24, 21/829, 652/474 is 123228.