Least Common Multiple of 206/32, 584/98, 793/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/32, 584/98, 793/888 quickly i.e. 23850268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/32, 584/98, 793/888 is 23850268.

LCM(206/32, 584/98, 793/888) = 23850268

LCM of 206/32, 584/98, 793/888

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 206/32,584/98,793/888

Given numbers are 206/32,584/98,793/888

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 206,584,793

Least Common Multiple of Numerators i.e. LCM of 206,584,793 is 47700536.

GCF of Denominators means GCF of 32,98,888 as per the given fractions.

GCF of 32,98,888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,584,793

LCM of Fractions 206/32,584/98,793/888 is 23850268

2 206, 584, 793
103, 292, 793

∴ So the LCM of the given numbers is 2 x 103 x 292 x 793 = 47700536

Least Common Multiple of 206,584,793 with GCF Formula

Least Common Multiple of 206,584,793 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 206,584,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,584,793) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(206,584,793) x common factors =1 x 2 = 2

LCM(206,584,793) = ( 206 × 584 × 793 ) / 2

LCM(206,584,793) = 95401072 / 2

LCM(206,584,793) = 47700536


Lets's calculate GCF of 32,98,888

2 32, 98, 888
16, 49, 444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47700536/2

Therefore the LCM of Fractions 206/32,584/98,793/888 is 23850268

Greatest Common Factor of 32,98,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,98,888 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 32,98,888 . The biggest common factor number is the GCF number.
So the greatest common factor 32,98,888 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 206/32, 584/98, 793/888

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 206/32, 584/98, 793/888?

Answer: LCM of Numerators as per given numbers 206/32, 584/98, 793/888 is

LCM of Numerators i.e. for 206,584,793 is 47700536

GCF of denominators i.e. for 32,98,888 is 2.

Thus, LCM of Fractions is 23850268.Finally, LCM of Fractions for 206/32, 584/98, 793/888 is 23850268.