Least Common Multiple of 18/76, 17/819, 678/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/76, 17/819, 678/126 quickly i.e. 34578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/76, 17/819, 678/126 is 34578.

LCM(18/76, 17/819, 678/126) = 34578

LCM of 18/76, 17/819, 678/126

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 18/76,17/819,678/126

Given numbers are 18/76,17/819,678/126

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 18,17,678

Least Common Multiple of Numerators i.e. LCM of 18,17,678 is 34578.

GCF of Denominators means GCF of 76,819,126 as per the given fractions.

GCF of 76,819,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,17,678

LCM of Fractions 18/76,17/819,678/126 is 34578

2 18, 17, 678
3 9, 17, 339
3, 17, 113

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 113 = 34578

Least Common Multiple of 18,17,678 with GCF Formula

Least Common Multiple of 18,17,678 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 18,17,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,17,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,17,678) x common factors =1 x 6 = 6

LCM(18,17,678) = ( 18 × 17 × 678 ) / 6

LCM(18,17,678) = 207468 / 6

LCM(18,17,678) = 34578


Lets's calculate GCF of 76,819,126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34578/1

Therefore the LCM of Fractions 18/76,17/819,678/126 is 34578

Greatest Common Factor of 76,819,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,819,126 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 76,819,126 . The biggest common factor number is the GCF number.
So the greatest common factor 76,819,126 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 18/76, 17/819, 678/126

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 18/76, 17/819, 678/126?

Answer: LCM of Numerators as per given numbers 18/76, 17/819, 678/126 is

LCM of Numerators i.e. for 18,17,678 is 34578

GCF of denominators i.e. for 76,819,126 is 1.

Thus, LCM of Fractions is 34578.Finally, LCM of Fractions for 18/76, 17/819, 678/126 is 34578.