Least Common Multiple of 29/903, 24/255, 654/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/903, 24/255, 654/420 quickly i.e. 25288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/903, 24/255, 654/420 is 25288.

LCM(29/903, 24/255, 654/420) = 25288

LCM of 29/903, 24/255, 654/420

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 29/903,24/255,654/420

Given numbers are 29/903,24/255,654/420

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 29,24,654

Least Common Multiple of Numerators i.e. LCM of 29,24,654 is 75864.

GCF of Denominators means GCF of 903,255,420 as per the given fractions.

GCF of 903,255,420 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,24,654

LCM of Fractions 29/903,24/255,654/420 is 25288

2 29, 24, 654
3 29, 12, 327
29, 4, 109

∴ So the LCM of the given numbers is 2 x 3 x 29 x 4 x 109 = 75864

Least Common Multiple of 29,24,654 with GCF Formula

Least Common Multiple of 29,24,654 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 29,24,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,24,654) = 1

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

GCF(29,24,654) x common factors =1 x 6 = 6

LCM(29,24,654) = ( 29 × 24 × 654 ) / 6

LCM(29,24,654) = 455184 / 6

LCM(29,24,654) = 75864


Lets's calculate GCF of 903,255,420

3 903, 255, 420
301, 85, 140

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75864/3

Therefore the LCM of Fractions 29/903,24/255,654/420 is 25288

Greatest Common Factor of 903,255,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,255,420 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 903,255,420 . The biggest common factor number is the GCF number.
So the greatest common factor 903,255,420 is 3.


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 29/903, 24/255, 654/420

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 29/903, 24/255, 654/420?

Answer: LCM of Numerators as per given numbers 29/903, 24/255, 654/420 is

LCM of Numerators i.e. for 29,24,654 is 75864

GCF of denominators i.e. for 903,255,420 is 3.

Thus, LCM of Fractions is 25288.Finally, LCM of Fractions for 29/903, 24/255, 654/420 is 25288.