Least Common Multiple of 83/198, 636/743, 479/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/198, 636/743, 479/688 quickly i.e. 25285452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/198, 636/743, 479/688 is 25285452.

LCM(83/198, 636/743, 479/688) = 25285452

LCM of 83/198, 636/743, 479/688

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 83/198,636/743,479/688

Given numbers are 83/198,636/743,479/688

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 83,636,479

Least Common Multiple of Numerators i.e. LCM of 83,636,479 is 25285452.

GCF of Denominators means GCF of 198,743,688 as per the given fractions.

GCF of 198,743,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,636,479

LCM of Fractions 83/198,636/743,479/688 is 25285452

Given numbers has no common factors except 1. So, there LCM is their product i.e 25285452

Least Common Multiple of 83,636,479 with GCF Formula

Least Common Multiple of 83,636,479 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 83,636,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,636,479) = 1

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

GCF(83,636,479) x common factors =1 x 1 = 1

LCM(83,636,479) = ( 83 × 636 × 479 ) / 1

LCM(83,636,479) = 25285452 / 1

LCM(83,636,479) = 25285452


Lets's calculate GCF of 198,743,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25285452/1

Therefore the LCM of Fractions 83/198,636/743,479/688 is 25285452

Greatest Common Factor of 198,743,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,743,688 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 198,743,688 . The biggest common factor number is the GCF number.
So the greatest common factor 198,743,688 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 83/198, 636/743, 479/688

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 83/198, 636/743, 479/688?

Answer: LCM of Numerators as per given numbers 83/198, 636/743, 479/688 is

LCM of Numerators i.e. for 83,636,479 is 25285452

GCF of denominators i.e. for 198,743,688 is 1.

Thus, LCM of Fractions is 25285452.Finally, LCM of Fractions for 83/198, 636/743, 479/688 is 25285452.