Least Common Multiple of 32/129, 324/378, 354/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/129, 324/378, 354/705 quickly i.e. 50976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/129, 324/378, 354/705 is 50976.

LCM(32/129, 324/378, 354/705) = 50976

LCM of 32/129, 324/378, 354/705

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 32/129,324/378,354/705

Given numbers are 32/129,324/378,354/705

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 32,324,354

Least Common Multiple of Numerators i.e. LCM of 32,324,354 is 152928.

GCF of Denominators means GCF of 129,378,705 as per the given fractions.

GCF of 129,378,705 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,324,354

LCM of Fractions 32/129,324/378,354/705 is 50976

2 32, 324, 354
2 16, 162, 177
3 8, 81, 177
8, 27, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 27 x 59 = 152928

Least Common Multiple of 32,324,354 with GCF Formula

Least Common Multiple of 32,324,354 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 32,324,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,324,354) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(32,324,354) x common factors =2 x 12 = 24

LCM(32,324,354) = ( 32 × 324 × 354 ) / 24

LCM(32,324,354) = 3670272 / 24

LCM(32,324,354) = 152928


Lets's calculate GCF of 129,378,705

3 129, 378, 705
43, 126, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152928/3

Therefore the LCM of Fractions 32/129,324/378,354/705 is 50976

Greatest Common Factor of 129,378,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,378,705 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 129,378,705 . The biggest common factor number is the GCF number.
So the greatest common factor 129,378,705 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 32/129, 324/378, 354/705

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 32/129, 324/378, 354/705?

Answer: LCM of Numerators as per given numbers 32/129, 324/378, 354/705 is

LCM of Numerators i.e. for 32,324,354 is 152928

GCF of denominators i.e. for 129,378,705 is 3.

Thus, LCM of Fractions is 50976.Finally, LCM of Fractions for 32/129, 324/378, 354/705 is 50976.