Least Common Multiple of 83/38, 868/82, 653/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/38, 868/82, 653/832 quickly i.e. 23522366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/38, 868/82, 653/832 is 23522366.

LCM(83/38, 868/82, 653/832) = 23522366

LCM of 83/38, 868/82, 653/832

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 83/38,868/82,653/832

Given numbers are 83/38,868/82,653/832

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 83,868,653

Least Common Multiple of Numerators i.e. LCM of 83,868,653 is 47044732.

GCF of Denominators means GCF of 38,82,832 as per the given fractions.

GCF of 38,82,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,868,653

LCM of Fractions 83/38,868/82,653/832 is 23522366

Given numbers has no common factors except 1. So, there LCM is their product i.e 47044732

Least Common Multiple of 83,868,653 with GCF Formula

Least Common Multiple of 83,868,653 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 83,868,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,868,653) = 1

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

GCF(83,868,653) x common factors =1 x 1 = 1

LCM(83,868,653) = ( 83 × 868 × 653 ) / 1

LCM(83,868,653) = 47044732 / 1

LCM(83,868,653) = 47044732


Lets's calculate GCF of 38,82,832

2 38, 82, 832
19, 41, 416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47044732/2

Therefore the LCM of Fractions 83/38,868/82,653/832 is 23522366

Greatest Common Factor of 38,82,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,82,832 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

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 38,82,832 . The biggest common factor number is the GCF number.
So the greatest common factor 38,82,832 is 2.


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 83/38, 868/82, 653/832

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 83/38, 868/82, 653/832?

Answer: LCM of Numerators as per given numbers 83/38, 868/82, 653/832 is

LCM of Numerators i.e. for 83,868,653 is 47044732

GCF of denominators i.e. for 38,82,832 is 2.

Thus, LCM of Fractions is 23522366.Finally, LCM of Fractions for 83/38, 868/82, 653/832 is 23522366.