Least Common Multiple of 79/542, 410/270, 578/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/542, 410/270, 578/396 quickly i.e. 4680355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/542, 410/270, 578/396 is 4680355.

LCM(79/542, 410/270, 578/396) = 4680355

LCM of 79/542, 410/270, 578/396

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 79/542,410/270,578/396

Given numbers are 79/542,410/270,578/396

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 79,410,578

Least Common Multiple of Numerators i.e. LCM of 79,410,578 is 9360710.

GCF of Denominators means GCF of 542,270,396 as per the given fractions.

GCF of 542,270,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,410,578

LCM of Fractions 79/542,410/270,578/396 is 4680355

2 79, 410, 578
79, 205, 289

∴ So the LCM of the given numbers is 2 x 79 x 205 x 289 = 9360710

Least Common Multiple of 79,410,578 with GCF Formula

Least Common Multiple of 79,410,578 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 79,410,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,410,578) = 1

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

GCF(79,410,578) x common factors =1 x 2 = 2

LCM(79,410,578) = ( 79 × 410 × 578 ) / 2

LCM(79,410,578) = 18721420 / 2

LCM(79,410,578) = 9360710


Lets's calculate GCF of 542,270,396

2 542, 270, 396
271, 135, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9360710/2

Therefore the LCM of Fractions 79/542,410/270,578/396 is 4680355

Greatest Common Factor of 542,270,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,270,396 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 542,270,396 . The biggest common factor number is the GCF number.
So the greatest common factor 542,270,396 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 79/542, 410/270, 578/396

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 79/542, 410/270, 578/396?

Answer: LCM of Numerators as per given numbers 79/542, 410/270, 578/396 is

LCM of Numerators i.e. for 79,410,578 is 9360710

GCF of denominators i.e. for 542,270,396 is 2.

Thus, LCM of Fractions is 4680355.Finally, LCM of Fractions for 79/542, 410/270, 578/396 is 4680355.