Least Common Multiple of 789/27, 100/61, 651/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/27, 100/61, 651/290 quickly i.e. 17121300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/27, 100/61, 651/290 is 17121300.

LCM(789/27, 100/61, 651/290) = 17121300

LCM of 789/27, 100/61, 651/290

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 789/27,100/61,651/290

Given numbers are 789/27,100/61,651/290

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 789,100,651

Least Common Multiple of Numerators i.e. LCM of 789,100,651 is 17121300.

GCF of Denominators means GCF of 27,61,290 as per the given fractions.

GCF of 27,61,290 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,100,651

LCM of Fractions 789/27,100/61,651/290 is 17121300

3 789, 100, 651
263, 100, 217

∴ So the LCM of the given numbers is 3 x 263 x 100 x 217 = 17121300

Least Common Multiple of 789,100,651 with GCF Formula

Least Common Multiple of 789,100,651 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 789,100,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,100,651) = 1

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

GCF(789,100,651) x common factors =1 x 3 = 3

LCM(789,100,651) = ( 789 × 100 × 651 ) / 3

LCM(789,100,651) = 51363900 / 3

LCM(789,100,651) = 17121300


Lets's calculate GCF of 27,61,290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17121300/1

Therefore the LCM of Fractions 789/27,100/61,651/290 is 17121300

Greatest Common Factor of 27,61,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,61,290 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 27,61,290 . The biggest common factor number is the GCF number.
So the greatest common factor 27,61,290 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 789/27, 100/61, 651/290

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 789/27, 100/61, 651/290?

Answer: LCM of Numerators as per given numbers 789/27, 100/61, 651/290 is

LCM of Numerators i.e. for 789,100,651 is 17121300

GCF of denominators i.e. for 27,61,290 is 1.

Thus, LCM of Fractions is 17121300.Finally, LCM of Fractions for 789/27, 100/61, 651/290 is 17121300.