Least Common Multiple of 18/36, 86/780, 311/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/36, 86/780, 311/642 quickly i.e. 40119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/36, 86/780, 311/642 is 40119.

LCM(18/36, 86/780, 311/642) = 40119

LCM of 18/36, 86/780, 311/642

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 18/36,86/780,311/642

Given numbers are 18/36,86/780,311/642

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 18,86,311

Least Common Multiple of Numerators i.e. LCM of 18,86,311 is 240714.

GCF of Denominators means GCF of 36,780,642 as per the given fractions.

GCF of 36,780,642 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,86,311

LCM of Fractions 18/36,86/780,311/642 is 40119

2 18, 86, 311
9, 43, 311

∴ So the LCM of the given numbers is 2 x 9 x 43 x 311 = 240714

Least Common Multiple of 18,86,311 with GCF Formula

Least Common Multiple of 18,86,311 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 18,86,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,86,311) = 1

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

GCF(18,86,311) x common factors =1 x 2 = 2

LCM(18,86,311) = ( 18 × 86 × 311 ) / 2

LCM(18,86,311) = 481428 / 2

LCM(18,86,311) = 240714


Lets's calculate GCF of 36,780,642

2 36, 780, 642
3 18, 390, 321
6, 130, 107

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240714/6

Therefore the LCM of Fractions 18/36,86/780,311/642 is 40119

Greatest Common Factor of 36,780,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,780,642 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 36,780,642 . The biggest common factor number is the GCF number.
So the greatest common factor 36,780,642 is 6.


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 18/36, 86/780, 311/642

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 18/36, 86/780, 311/642?

Answer: LCM of Numerators as per given numbers 18/36, 86/780, 311/642 is

LCM of Numerators i.e. for 18,86,311 is 240714

GCF of denominators i.e. for 36,780,642 is 6.

Thus, LCM of Fractions is 40119.Finally, LCM of Fractions for 18/36, 86/780, 311/642 is 40119.