Least Common Multiple of 56/42, 14/567, 916/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/42, 14/567, 916/399 quickly i.e. 12824/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/42, 14/567, 916/399 is 12824/21.

LCM(56/42, 14/567, 916/399) = 12824/21

LCM of 56/42, 14/567, 916/399

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 56/42,14/567,916/399

Given numbers are 56/42,14/567,916/399

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 56,14,916

Least Common Multiple of Numerators i.e. LCM of 56,14,916 is 12824.

GCF of Denominators means GCF of 42,567,399 as per the given fractions.

GCF of 42,567,399 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,14,916

LCM of Fractions 56/42,14/567,916/399 is 12824/21

2 56, 14, 916
2 28, 7, 458
7 14, 7, 229
2, 1, 229

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 1 x 229 = 12824

Least Common Multiple of 56,14,916 with GCF Formula

Least Common Multiple of 56,14,916 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 56,14,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,14,916) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(56,14,916) x common factors =2 x 28 = 56

LCM(56,14,916) = ( 56 × 14 × 916 ) / 56

LCM(56,14,916) = 718144 / 56

LCM(56,14,916) = 12824


Lets's calculate GCF of 42,567,399

3 42, 567, 399
7 14, 189, 133
2, 27, 19

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12824/21

Therefore the LCM of Fractions 56/42,14/567,916/399 is 12824/21

Greatest Common Factor of 42,567,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,567,399 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 42,567,399 . The biggest common factor number is the GCF number.
So the greatest common factor 42,567,399 is 21.


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 56/42, 14/567, 916/399

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 56/42, 14/567, 916/399?

Answer: LCM of Numerators as per given numbers 56/42, 14/567, 916/399 is

LCM of Numerators i.e. for 56,14,916 is 12824

GCF of denominators i.e. for 42,567,399 is 21.

Thus, LCM of Fractions is 12824/21.Finally, LCM of Fractions for 56/42, 14/567, 916/399 is 12824/21.