Least Common Multiple of 189/68, 287/1494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/68, 287/1494 quickly i.e. 7749/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/68, 287/1494 is 7749/2.

LCM(189/68, 287/1494) = 7749/2

LCM of 189/68, 287/1494

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 189/68,287/1494

Given numbers are 189/68,287/1494

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 189,287

Least Common Multiple of Numerators i.e. LCM of 189,287 is 7749.

GCF of Denominators means GCF of 68,1494 as per the given fractions.

GCF of 68,1494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,287

LCM of Fractions 189/68,287/1494 is 7749/2

7 189, 287
27, 41

∴ So the LCM of the given numbers is 7 x 27 x 41 = 7749

Least Common Multiple of 189,287 with GCF Formula

Least Common Multiple of 189,287 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 189,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,287) = 7

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

GCF(189,287) x common factors =7 x 1 = 7

LCM(189,287) = ( 189 × 287 ) / 7

LCM(189,287) = 54243 / 7

LCM(189,287) = 7749


Lets's calculate GCF of 68,1494

2 68, 1494
34, 747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7749/2

Therefore the LCM of Fractions 189/68,287/1494 is 7749/2

Greatest Common Factor of 68,1494 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,1494 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 1494

List of positive integer factors of 1494 that divides 1494 without a remainder.

1,2,3,6,9,18,83,166,249,498,747,1494

Greatest Common Factor

We found the factors 68,1494 . The biggest common factor number is the GCF number.
So the greatest common factor 68,1494 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 189/68, 287/1494

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 189/68, 287/1494?

Answer: LCM of Numerators as per given numbers 189/68, 287/1494 is

LCM of Numerators i.e. for 189,287 is 7749

GCF of denominators i.e. for 68,1494 is 2.

Thus, LCM of Fractions is 7749/2.Finally, LCM of Fractions for 189/68, 287/1494 is 7749/2.