Least Common Multiple of 558/389, 132/712, 319/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/389, 132/712, 319/132 quickly i.e. 356004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/389, 132/712, 319/132 is 356004.

LCM(558/389, 132/712, 319/132) = 356004

LCM of 558/389, 132/712, 319/132

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 558/389,132/712,319/132

Given numbers are 558/389,132/712,319/132

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 558,132,319

Least Common Multiple of Numerators i.e. LCM of 558,132,319 is 356004.

GCF of Denominators means GCF of 389,712,132 as per the given fractions.

GCF of 389,712,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,132,319

LCM of Fractions 558/389,132/712,319/132 is 356004

2 558, 132, 319
3 279, 66, 319
11 93, 22, 319
93, 2, 29

∴ So the LCM of the given numbers is 2 x 3 x 11 x 93 x 2 x 29 = 356004

Least Common Multiple of 558,132,319 with GCF Formula

Least Common Multiple of 558,132,319 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 558,132,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,132,319) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(558,132,319) x common factors =1 x 66 = 66

LCM(558,132,319) = ( 558 × 132 × 319 ) / 66

LCM(558,132,319) = 23496264 / 66

LCM(558,132,319) = 356004


Lets's calculate GCF of 389,712,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356004/1

Therefore the LCM of Fractions 558/389,132/712,319/132 is 356004

Greatest Common Factor of 389,712,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,712,132 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 389,712,132 . The biggest common factor number is the GCF number.
So the greatest common factor 389,712,132 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 558/389, 132/712, 319/132

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 558/389, 132/712, 319/132?

Answer: LCM of Numerators as per given numbers 558/389, 132/712, 319/132 is

LCM of Numerators i.e. for 558,132,319 is 356004

GCF of denominators i.e. for 389,712,132 is 1.

Thus, LCM of Fractions is 356004.Finally, LCM of Fractions for 558/389, 132/712, 319/132 is 356004.