Least Common Multiple of 187/489, 644/894, 234/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/489, 644/894, 234/189 quickly i.e. 4696692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/489, 644/894, 234/189 is 4696692.

LCM(187/489, 644/894, 234/189) = 4696692

LCM of 187/489, 644/894, 234/189

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 187/489,644/894,234/189

Given numbers are 187/489,644/894,234/189

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 187,644,234

Least Common Multiple of Numerators i.e. LCM of 187,644,234 is 14090076.

GCF of Denominators means GCF of 489,894,189 as per the given fractions.

GCF of 489,894,189 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,644,234

LCM of Fractions 187/489,644/894,234/189 is 4696692

2 187, 644, 234
187, 322, 117

∴ So the LCM of the given numbers is 2 x 187 x 322 x 117 = 14090076

Least Common Multiple of 187,644,234 with GCF Formula

Least Common Multiple of 187,644,234 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 187,644,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,644,234) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(187,644,234) x common factors =1 x 2 = 2

LCM(187,644,234) = ( 187 × 644 × 234 ) / 2

LCM(187,644,234) = 28180152 / 2

LCM(187,644,234) = 14090076


Lets's calculate GCF of 489,894,189

3 489, 894, 189
163, 298, 63

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14090076/3

Therefore the LCM of Fractions 187/489,644/894,234/189 is 4696692

Greatest Common Factor of 489,894,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,894,189 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 489,894,189 . The biggest common factor number is the GCF number.
So the greatest common factor 489,894,189 is 3.


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 187/489, 644/894, 234/189

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 187/489, 644/894, 234/189?

Answer: LCM of Numerators as per given numbers 187/489, 644/894, 234/189 is

LCM of Numerators i.e. for 187,644,234 is 14090076

GCF of denominators i.e. for 489,894,189 is 3.

Thus, LCM of Fractions is 4696692.Finally, LCM of Fractions for 187/489, 644/894, 234/189 is 4696692.