Least Common Multiple of 129/156, 567/280, 429/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 129/156, 567/280, 429/226 quickly i.e. 3486483/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 129/156, 567/280, 429/226 is 3486483/2.

LCM(129/156, 567/280, 429/226) = 3486483/2

LCM of 129/156, 567/280, 429/226

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 129/156,567/280,429/226

Given numbers are 129/156,567/280,429/226

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 129,567,429

Least Common Multiple of Numerators i.e. LCM of 129,567,429 is 3486483.

GCF of Denominators means GCF of 156,280,226 as per the given fractions.

GCF of 156,280,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 129,567,429

LCM of Fractions 129/156,567/280,429/226 is 3486483/2

3 129, 567, 429
43, 189, 143

∴ So the LCM of the given numbers is 3 x 43 x 189 x 143 = 3486483

Least Common Multiple of 129,567,429 with GCF Formula

Least Common Multiple of 129,567,429 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 129,567,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,567,429) = 3

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

GCF(129,567,429) x common factors =3 x 3 = 9

LCM(129,567,429) = ( 129 × 567 × 429 ) / 9

LCM(129,567,429) = 31378347 / 9

LCM(129,567,429) = 3486483


Lets's calculate GCF of 156,280,226

2 156, 280, 226
78, 140, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3486483/2

Therefore the LCM of Fractions 129/156,567/280,429/226 is 3486483/2

Greatest Common Factor of 156,280,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,280,226 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 156,280,226 . The biggest common factor number is the GCF number.
So the greatest common factor 156,280,226 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 129/156, 567/280, 429/226

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 129/156, 567/280, 429/226?

Answer: LCM of Numerators as per given numbers 129/156, 567/280, 429/226 is

LCM of Numerators i.e. for 129,567,429 is 3486483

GCF of denominators i.e. for 156,280,226 is 2.

Thus, LCM of Fractions is 3486483/2.Finally, LCM of Fractions for 129/156, 567/280, 429/226 is 3486483/2.