Least Common Multiple of 594/402, 764/477, 408/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/402, 764/477, 408/107 quickly i.e. 7714872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/402, 764/477, 408/107 is 7714872.

LCM(594/402, 764/477, 408/107) = 7714872

LCM of 594/402, 764/477, 408/107

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 594/402,764/477,408/107

Given numbers are 594/402,764/477,408/107

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 594,764,408

Least Common Multiple of Numerators i.e. LCM of 594,764,408 is 7714872.

GCF of Denominators means GCF of 402,477,107 as per the given fractions.

GCF of 402,477,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,764,408

LCM of Fractions 594/402,764/477,408/107 is 7714872

2 594, 764, 408
2 297, 382, 204
3 297, 191, 102
99, 191, 34

∴ So the LCM of the given numbers is 2 x 2 x 3 x 99 x 191 x 34 = 7714872

Least Common Multiple of 594,764,408 with GCF Formula

Least Common Multiple of 594,764,408 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 594,764,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,764,408) = 2

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

GCF(594,764,408) x common factors =2 x 12 = 24

LCM(594,764,408) = ( 594 × 764 × 408 ) / 24

LCM(594,764,408) = 185156928 / 24

LCM(594,764,408) = 7714872


Lets's calculate GCF of 402,477,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7714872/1

Therefore the LCM of Fractions 594/402,764/477,408/107 is 7714872

Greatest Common Factor of 402,477,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,477,107 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 402,477,107 . The biggest common factor number is the GCF number.
So the greatest common factor 402,477,107 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 594/402, 764/477, 408/107

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 594/402, 764/477, 408/107?

Answer: LCM of Numerators as per given numbers 594/402, 764/477, 408/107 is

LCM of Numerators i.e. for 594,764,408 is 7714872

GCF of denominators i.e. for 402,477,107 is 1.

Thus, LCM of Fractions is 7714872.Finally, LCM of Fractions for 594/402, 764/477, 408/107 is 7714872.