Least Common Multiple of 56/723, 6837/5383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/723, 6837/5383 quickly i.e. 382872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/723, 6837/5383 is 382872.

LCM(56/723, 6837/5383) = 382872

LCM of 56/723, 6837/5383

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 56/723,6837/5383

Given numbers are 56/723,6837/5383

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 56,6837

Least Common Multiple of Numerators i.e. LCM of 56,6837 is 382872.

GCF of Denominators means GCF of 723,5383 as per the given fractions.

GCF of 723,5383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,6837

LCM of Fractions 56/723,6837/5383 is 382872

Given numbers has no common factors except 1. So, there LCM is their product i.e 382872

Least Common Multiple of 56,6837 with GCF Formula

Least Common Multiple of 56,6837 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 56,6837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,6837) = 1

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

GCF(56,6837) x common factors =1 x 1 = 1

LCM(56,6837) = ( 56 × 6837 ) / 1

LCM(56,6837) = 382872 / 1

LCM(56,6837) = 382872


Lets's calculate GCF of 723,5383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382872/1

Therefore the LCM of Fractions 56/723,6837/5383 is 382872

Greatest Common Factor of 723,5383 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,5383 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 5383

List of positive integer factors of 5383 that divides 5383 without a remainder.

1,7,769,5383

Greatest Common Factor

We found the factors 723,5383 . The biggest common factor number is the GCF number.
So the greatest common factor 723,5383 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 56/723, 6837/5383

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 56/723, 6837/5383?

Answer: LCM of Numerators as per given numbers 56/723, 6837/5383 is

LCM of Numerators i.e. for 56,6837 is 382872

GCF of denominators i.e. for 723,5383 is 1.

Thus, LCM of Fractions is 382872.Finally, LCM of Fractions for 56/723, 6837/5383 is 382872.