Least Common Multiple of 473/79, 906/31, 556/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 473/79, 906/31, 556/129 quickly i.e. 119133564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 473/79, 906/31, 556/129 is 119133564.

LCM(473/79, 906/31, 556/129) = 119133564

LCM of 473/79, 906/31, 556/129

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 473/79,906/31,556/129

Given numbers are 473/79,906/31,556/129

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 473,906,556

Least Common Multiple of Numerators i.e. LCM of 473,906,556 is 119133564.

GCF of Denominators means GCF of 79,31,129 as per the given fractions.

GCF of 79,31,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 473,906,556

LCM of Fractions 473/79,906/31,556/129 is 119133564

2 473, 906, 556
473, 453, 278

∴ So the LCM of the given numbers is 2 x 473 x 453 x 278 = 119133564

Least Common Multiple of 473,906,556 with GCF Formula

Least Common Multiple of 473,906,556 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 473,906,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,906,556) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(473,906,556) x common factors =1 x 2 = 2

LCM(473,906,556) = ( 473 × 906 × 556 ) / 2

LCM(473,906,556) = 238267128 / 2

LCM(473,906,556) = 119133564


Lets's calculate GCF of 79,31,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119133564/1

Therefore the LCM of Fractions 473/79,906/31,556/129 is 119133564

Greatest Common Factor of 79,31,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,31,129 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 129

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

1,3,43,129

Greatest Common Factor

We found the factors 79,31,129 . The biggest common factor number is the GCF number.
So the greatest common factor 79,31,129 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 473/79, 906/31, 556/129

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 473/79, 906/31, 556/129?

Answer: LCM of Numerators as per given numbers 473/79, 906/31, 556/129 is

LCM of Numerators i.e. for 473,906,556 is 119133564

GCF of denominators i.e. for 79,31,129 is 1.

Thus, LCM of Fractions is 119133564.Finally, LCM of Fractions for 473/79, 906/31, 556/129 is 119133564.