Least Common Multiple of 29/24, 132/18, 426/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/24, 132/18, 426/284 quickly i.e. 135894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/24, 132/18, 426/284 is 135894.

LCM(29/24, 132/18, 426/284) = 135894

LCM of 29/24, 132/18, 426/284

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 29/24,132/18,426/284

Given numbers are 29/24,132/18,426/284

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 29,132,426

Least Common Multiple of Numerators i.e. LCM of 29,132,426 is 271788.

GCF of Denominators means GCF of 24,18,284 as per the given fractions.

GCF of 24,18,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,132,426

LCM of Fractions 29/24,132/18,426/284 is 135894

2 29, 132, 426
3 29, 66, 213
29, 22, 71

∴ So the LCM of the given numbers is 2 x 3 x 29 x 22 x 71 = 271788

Least Common Multiple of 29,132,426 with GCF Formula

Least Common Multiple of 29,132,426 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 29,132,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,132,426) = 1

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

GCF(29,132,426) x common factors =1 x 6 = 6

LCM(29,132,426) = ( 29 × 132 × 426 ) / 6

LCM(29,132,426) = 1630728 / 6

LCM(29,132,426) = 271788


Lets's calculate GCF of 24,18,284

2 24, 18, 284
12, 9, 142

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271788/2

Therefore the LCM of Fractions 29/24,132/18,426/284 is 135894

Greatest Common Factor of 24,18,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,18,284 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 24,18,284 . The biggest common factor number is the GCF number.
So the greatest common factor 24,18,284 is 2.


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 29/24, 132/18, 426/284

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 29/24, 132/18, 426/284?

Answer: LCM of Numerators as per given numbers 29/24, 132/18, 426/284 is

LCM of Numerators i.e. for 29,132,426 is 271788

GCF of denominators i.e. for 24,18,284 is 2.

Thus, LCM of Fractions is 135894.Finally, LCM of Fractions for 29/24, 132/18, 426/284 is 135894.