Least Common Multiple of 86/235, 68/894, 744/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/235, 68/894, 744/686 quickly i.e. 543864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/235, 68/894, 744/686 is 543864.

LCM(86/235, 68/894, 744/686) = 543864

LCM of 86/235, 68/894, 744/686

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 86/235,68/894,744/686

Given numbers are 86/235,68/894,744/686

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 86,68,744

Least Common Multiple of Numerators i.e. LCM of 86,68,744 is 543864.

GCF of Denominators means GCF of 235,894,686 as per the given fractions.

GCF of 235,894,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,68,744

LCM of Fractions 86/235,68/894,744/686 is 543864

2 86, 68, 744
2 43, 34, 372
43, 17, 186

∴ So the LCM of the given numbers is 2 x 2 x 43 x 17 x 186 = 543864

Least Common Multiple of 86,68,744 with GCF Formula

Least Common Multiple of 86,68,744 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 86,68,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,68,744) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(86,68,744) x common factors =2 x 4 = 8

LCM(86,68,744) = ( 86 × 68 × 744 ) / 8

LCM(86,68,744) = 4350912 / 8

LCM(86,68,744) = 543864


Lets's calculate GCF of 235,894,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 543864/1

Therefore the LCM of Fractions 86/235,68/894,744/686 is 543864

Greatest Common Factor of 235,894,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,894,686 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 235,894,686 . The biggest common factor number is the GCF number.
So the greatest common factor 235,894,686 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 86/235, 68/894, 744/686

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 86/235, 68/894, 744/686?

Answer: LCM of Numerators as per given numbers 86/235, 68/894, 744/686 is

LCM of Numerators i.e. for 86,68,744 is 543864

GCF of denominators i.e. for 235,894,686 is 1.

Thus, LCM of Fractions is 543864.Finally, LCM of Fractions for 86/235, 68/894, 744/686 is 543864.