Least Common Multiple of 5/56, 84/500, 39/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/56, 84/500, 39/832 quickly i.e. 1365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/56, 84/500, 39/832 is 1365.

LCM(5/56, 84/500, 39/832) = 1365

LCM of 5/56, 84/500, 39/832

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 5/56,84/500,39/832

Given numbers are 5/56,84/500,39/832

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 5,84,39

Least Common Multiple of Numerators i.e. LCM of 5,84,39 is 5460.

GCF of Denominators means GCF of 56,500,832 as per the given fractions.

GCF of 56,500,832 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,84,39

LCM of Fractions 5/56,84/500,39/832 is 1365

3 5, 84, 39
5, 28, 13

∴ So the LCM of the given numbers is 3 x 5 x 28 x 13 = 5460

Least Common Multiple of 5,84,39 with GCF Formula

Least Common Multiple of 5,84,39 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 5,84,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,84,39) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(5,84,39) x common factors =1 x 3 = 3

LCM(5,84,39) = ( 5 × 84 × 39 ) / 3

LCM(5,84,39) = 16380 / 3

LCM(5,84,39) = 5460


Lets's calculate GCF of 56,500,832

2 56, 500, 832
2 28, 250, 416
14, 125, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5460/4

Therefore the LCM of Fractions 5/56,84/500,39/832 is 1365

Greatest Common Factor of 56,500,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,500,832 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 56,500,832 . The biggest common factor number is the GCF number.
So the greatest common factor 56,500,832 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 5/56, 84/500, 39/832

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 5/56, 84/500, 39/832?

Answer: LCM of Numerators as per given numbers 5/56, 84/500, 39/832 is

LCM of Numerators i.e. for 5,84,39 is 5460

GCF of denominators i.e. for 56,500,832 is 4.

Thus, LCM of Fractions is 1365.Finally, LCM of Fractions for 5/56, 84/500, 39/832 is 1365.