Least Common Multiple of 18/76, 59/34, 828/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/76, 59/34, 828/714 quickly i.e. 24426 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, 59/34, 828/714 is 24426.

LCM(18/76, 59/34, 828/714) = 24426

LCM of 18/76, 59/34, 828/714

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 18/76,59/34,828/714

Given numbers are 18/76,59/34,828/714

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 18,59,828

Least Common Multiple of Numerators i.e. LCM of 18,59,828 is 48852.

GCF of Denominators means GCF of 76,34,714 as per the given fractions.

GCF of 76,34,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,59,828

LCM of Fractions 18/76,59/34,828/714 is 24426

2 18, 59, 828
3 9, 59, 414
3 3, 59, 138
1, 59, 46

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 59 x 46 = 48852

Least Common Multiple of 18,59,828 with GCF Formula

Least Common Multiple of 18,59,828 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 18,59,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,59,828) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,59,828) x common factors =1 x 18 = 18

LCM(18,59,828) = ( 18 × 59 × 828 ) / 18

LCM(18,59,828) = 879336 / 18

LCM(18,59,828) = 48852


Lets's calculate GCF of 76,34,714

2 76, 34, 714
38, 17, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48852/2

Therefore the LCM of Fractions 18/76,59/34,828/714 is 24426

Greatest Common Factor of 76,34,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,34,714 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 34

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

1,2,17,34

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 76,34,714 . The biggest common factor number is the GCF number.
So the greatest common factor 76,34,714 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 18/76, 59/34, 828/714

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, 59/34, 828/714?

Answer: LCM of Numerators as per given numbers 18/76, 59/34, 828/714 is

LCM of Numerators i.e. for 18,59,828 is 48852

GCF of denominators i.e. for 76,34,714 is 2.

Thus, LCM of Fractions is 24426.Finally, LCM of Fractions for 18/76, 59/34, 828/714 is 24426.