Least Common Multiple of 868/111, 167/359, 214/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/111, 167/359, 214/100 quickly i.e. 15510292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/111, 167/359, 214/100 is 15510292.

LCM(868/111, 167/359, 214/100) = 15510292

LCM of 868/111, 167/359, 214/100

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 868/111,167/359,214/100

Given numbers are 868/111,167/359,214/100

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 868,167,214

Least Common Multiple of Numerators i.e. LCM of 868,167,214 is 15510292.

GCF of Denominators means GCF of 111,359,100 as per the given fractions.

GCF of 111,359,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,167,214

LCM of Fractions 868/111,167/359,214/100 is 15510292

2 868, 167, 214
434, 167, 107

∴ So the LCM of the given numbers is 2 x 434 x 167 x 107 = 15510292

Least Common Multiple of 868,167,214 with GCF Formula

Least Common Multiple of 868,167,214 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 868,167,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,167,214) = 1

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

GCF(868,167,214) x common factors =1 x 2 = 2

LCM(868,167,214) = ( 868 × 167 × 214 ) / 2

LCM(868,167,214) = 31020584 / 2

LCM(868,167,214) = 15510292


Lets's calculate GCF of 111,359,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15510292/1

Therefore the LCM of Fractions 868/111,167/359,214/100 is 15510292

Greatest Common Factor of 111,359,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,359,100 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 111,359,100 . The biggest common factor number is the GCF number.
So the greatest common factor 111,359,100 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 868/111, 167/359, 214/100

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 868/111, 167/359, 214/100?

Answer: LCM of Numerators as per given numbers 868/111, 167/359, 214/100 is

LCM of Numerators i.e. for 868,167,214 is 15510292

GCF of denominators i.e. for 111,359,100 is 1.

Thus, LCM of Fractions is 15510292.Finally, LCM of Fractions for 868/111, 167/359, 214/100 is 15510292.