Least Common Multiple of 42/556, 861/844, 711/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/556, 861/844, 711/396 quickly i.e. 408114/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/556, 861/844, 711/396 is 408114/4.

LCM(42/556, 861/844, 711/396) = 408114/4

LCM of 42/556, 861/844, 711/396

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 42/556,861/844,711/396

Given numbers are 42/556,861/844,711/396

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 42,861,711

Least Common Multiple of Numerators i.e. LCM of 42,861,711 is 408114.

GCF of Denominators means GCF of 556,844,396 as per the given fractions.

GCF of 556,844,396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,861,711

LCM of Fractions 42/556,861/844,711/396 is 408114/4

3 42, 861, 711
7 14, 287, 237
2, 41, 237

∴ So the LCM of the given numbers is 3 x 7 x 2 x 41 x 237 = 408114

Least Common Multiple of 42,861,711 with GCF Formula

Least Common Multiple of 42,861,711 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 42,861,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,861,711) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(42,861,711) x common factors =3 x 21 = 63

LCM(42,861,711) = ( 42 × 861 × 711 ) / 63

LCM(42,861,711) = 25711182 / 63

LCM(42,861,711) = 408114


Lets's calculate GCF of 556,844,396

2 556, 844, 396
2 278, 422, 198
139, 211, 99

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408114/4

Therefore the LCM of Fractions 42/556,861/844,711/396 is 408114/4

Greatest Common Factor of 556,844,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,844,396 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

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 556,844,396 . The biggest common factor number is the GCF number.
So the greatest common factor 556,844,396 is 4.


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 42/556, 861/844, 711/396

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 42/556, 861/844, 711/396?

Answer: LCM of Numerators as per given numbers 42/556, 861/844, 711/396 is

LCM of Numerators i.e. for 42,861,711 is 408114

GCF of denominators i.e. for 556,844,396 is 4.

Thus, LCM of Fractions is 408114/4.Finally, LCM of Fractions for 42/556, 861/844, 711/396 is 408114/4.