Least Common Multiple of 23/36, 35/22, 96/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/36, 35/22, 96/686 quickly i.e. 38640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/36, 35/22, 96/686 is 38640.

LCM(23/36, 35/22, 96/686) = 38640

LCM of 23/36, 35/22, 96/686

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 23/36,35/22,96/686

Given numbers are 23/36,35/22,96/686

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 23,35,96

Least Common Multiple of Numerators i.e. LCM of 23,35,96 is 77280.

GCF of Denominators means GCF of 36,22,686 as per the given fractions.

GCF of 36,22,686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,35,96

LCM of Fractions 23/36,35/22,96/686 is 38640

Given numbers has no common factors except 1. So, there LCM is their product i.e 77280

Least Common Multiple of 23,35,96 with GCF Formula

Least Common Multiple of 23,35,96 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 23,35,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,35,96) = 1

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

GCF(23,35,96) x common factors =1 x 1 = 1

LCM(23,35,96) = ( 23 × 35 × 96 ) / 1

LCM(23,35,96) = 77280 / 1

LCM(23,35,96) = 77280


Lets's calculate GCF of 36,22,686

2 36, 22, 686
18, 11, 343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77280/2

Therefore the LCM of Fractions 23/36,35/22,96/686 is 38640

Greatest Common Factor of 36,22,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,22,686 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 36,22,686 . The biggest common factor number is the GCF number.
So the greatest common factor 36,22,686 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 23/36, 35/22, 96/686

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 23/36, 35/22, 96/686?

Answer: LCM of Numerators as per given numbers 23/36, 35/22, 96/686 is

LCM of Numerators i.e. for 23,35,96 is 77280

GCF of denominators i.e. for 36,22,686 is 2.

Thus, LCM of Fractions is 38640.Finally, LCM of Fractions for 23/36, 35/22, 96/686 is 38640.