Least Common Multiple of 86/325, 18/186, 860/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/325, 18/186, 860/735 quickly i.e. 7740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/325, 18/186, 860/735 is 7740.

LCM(86/325, 18/186, 860/735) = 7740

LCM of 86/325, 18/186, 860/735

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 86/325,18/186,860/735

Given numbers are 86/325,18/186,860/735

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 86,18,860

Least Common Multiple of Numerators i.e. LCM of 86,18,860 is 7740.

GCF of Denominators means GCF of 325,186,735 as per the given fractions.

GCF of 325,186,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,18,860

LCM of Fractions 86/325,18/186,860/735 is 7740

2 86, 18, 860
43 43, 9, 430
1, 9, 10

∴ So the LCM of the given numbers is 2 x 43 x 1 x 9 x 10 = 7740

Least Common Multiple of 86,18,860 with GCF Formula

Least Common Multiple of 86,18,860 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 86,18,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,18,860) = 2

common factors(in case of two or more numbers have common factors) = 86

GCF(86,18,860) x common factors =2 x 86 = 172

LCM(86,18,860) = ( 86 × 18 × 860 ) / 172

LCM(86,18,860) = 1331280 / 172

LCM(86,18,860) = 7740


Lets's calculate GCF of 325,186,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7740/1

Therefore the LCM of Fractions 86/325,18/186,860/735 is 7740

Greatest Common Factor of 325,186,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,186,735 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 325,186,735 . The biggest common factor number is the GCF number.
So the greatest common factor 325,186,735 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 86/325, 18/186, 860/735

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 86/325, 18/186, 860/735?

Answer: LCM of Numerators as per given numbers 86/325, 18/186, 860/735 is

LCM of Numerators i.e. for 86,18,860 is 7740

GCF of denominators i.e. for 325,186,735 is 1.

Thus, LCM of Fractions is 7740.Finally, LCM of Fractions for 86/325, 18/186, 860/735 is 7740.