Least Common Multiple of 56/324, 1188/5891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/324, 1188/5891 quickly i.e. 16632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/324, 1188/5891 is 16632.

LCM(56/324, 1188/5891) = 16632

LCM of 56/324, 1188/5891

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 56/324,1188/5891

Given numbers are 56/324,1188/5891

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 56,1188

Least Common Multiple of Numerators i.e. LCM of 56,1188 is 16632.

GCF of Denominators means GCF of 324,5891 as per the given fractions.

GCF of 324,5891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,1188

LCM of Fractions 56/324,1188/5891 is 16632

2 56, 1188
2 28, 594
14, 297

∴ So the LCM of the given numbers is 2 x 2 x 14 x 297 = 16632

Least Common Multiple of 56,1188 with GCF Formula

Least Common Multiple of 56,1188 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 56,1188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,1188) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(56,1188) x common factors =4 x 1 = 4

LCM(56,1188) = ( 56 × 1188 ) / 4

LCM(56,1188) = 66528 / 4

LCM(56,1188) = 16632


Lets's calculate GCF of 324,5891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16632/1

Therefore the LCM of Fractions 56/324,1188/5891 is 16632

Greatest Common Factor of 324,5891 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,5891 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 5891

List of positive integer factors of 5891 that divides 5891 without a remainder.

1,43,137,5891

Greatest Common Factor

We found the factors 324,5891 . The biggest common factor number is the GCF number.
So the greatest common factor 324,5891 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 56/324, 1188/5891

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 56/324, 1188/5891?

Answer: LCM of Numerators as per given numbers 56/324, 1188/5891 is

LCM of Numerators i.e. for 56,1188 is 16632

GCF of denominators i.e. for 324,5891 is 1.

Thus, LCM of Fractions is 16632.Finally, LCM of Fractions for 56/324, 1188/5891 is 16632.