Least Common Multiple of 627/23, 763/96, 108/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 627/23, 763/96, 108/34 quickly i.e. 17222436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 627/23, 763/96, 108/34 is 17222436.

LCM(627/23, 763/96, 108/34) = 17222436

LCM of 627/23, 763/96, 108/34

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 627/23,763/96,108/34

Given numbers are 627/23,763/96,108/34

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 627,763,108

Least Common Multiple of Numerators i.e. LCM of 627,763,108 is 17222436.

GCF of Denominators means GCF of 23,96,34 as per the given fractions.

GCF of 23,96,34 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 627,763,108

LCM of Fractions 627/23,763/96,108/34 is 17222436

3 627, 763, 108
209, 763, 36

∴ So the LCM of the given numbers is 3 x 209 x 763 x 36 = 17222436

Least Common Multiple of 627,763,108 with GCF Formula

Least Common Multiple of 627,763,108 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 627,763,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,763,108) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(627,763,108) x common factors =1 x 3 = 3

LCM(627,763,108) = ( 627 × 763 × 108 ) / 3

LCM(627,763,108) = 51667308 / 3

LCM(627,763,108) = 17222436


Lets's calculate GCF of 23,96,34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17222436/1

Therefore the LCM of Fractions 627/23,763/96,108/34 is 17222436

Greatest Common Factor of 23,96,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,96,34 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Greatest Common Factor

We found the factors 23,96,34 . The biggest common factor number is the GCF number.
So the greatest common factor 23,96,34 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 627/23, 763/96, 108/34

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 627/23, 763/96, 108/34?

Answer: LCM of Numerators as per given numbers 627/23, 763/96, 108/34 is

LCM of Numerators i.e. for 627,763,108 is 17222436

GCF of denominators i.e. for 23,96,34 is 1.

Thus, LCM of Fractions is 17222436.Finally, LCM of Fractions for 627/23, 763/96, 108/34 is 17222436.