Least Common Multiple of 359/96, 926/88, 643/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 359/96, 926/88, 643/218 quickly i.e. 106877531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 359/96, 926/88, 643/218 is 106877531.

LCM(359/96, 926/88, 643/218) = 106877531

LCM of 359/96, 926/88, 643/218

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 359/96,926/88,643/218

Given numbers are 359/96,926/88,643/218

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 359,926,643

Least Common Multiple of Numerators i.e. LCM of 359,926,643 is 213755062.

GCF of Denominators means GCF of 96,88,218 as per the given fractions.

GCF of 96,88,218 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 359,926,643

LCM of Fractions 359/96,926/88,643/218 is 106877531

Given numbers has no common factors except 1. So, there LCM is their product i.e 213755062

Least Common Multiple of 359,926,643 with GCF Formula

Least Common Multiple of 359,926,643 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 359,926,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,926,643) = 1

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

GCF(359,926,643) x common factors =1 x 1 = 1

LCM(359,926,643) = ( 359 × 926 × 643 ) / 1

LCM(359,926,643) = 213755062 / 1

LCM(359,926,643) = 213755062


Lets's calculate GCF of 96,88,218

2 96, 88, 218
48, 44, 109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213755062/2

Therefore the LCM of Fractions 359/96,926/88,643/218 is 106877531

Greatest Common Factor of 96,88,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,88,218 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 96,88,218 . The biggest common factor number is the GCF number.
So the greatest common factor 96,88,218 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 359/96, 926/88, 643/218

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 359/96, 926/88, 643/218?

Answer: LCM of Numerators as per given numbers 359/96, 926/88, 643/218 is

LCM of Numerators i.e. for 359,926,643 is 213755062

GCF of denominators i.e. for 96,88,218 is 2.

Thus, LCM of Fractions is 106877531.Finally, LCM of Fractions for 359/96, 926/88, 643/218 is 106877531.