Least Common Multiple of 12/489, 77/645, 755/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/489, 77/645, 755/297 quickly i.e. 232540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/489, 77/645, 755/297 is 232540.

LCM(12/489, 77/645, 755/297) = 232540

LCM of 12/489, 77/645, 755/297

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 12/489,77/645,755/297

Given numbers are 12/489,77/645,755/297

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 12,77,755

Least Common Multiple of Numerators i.e. LCM of 12,77,755 is 697620.

GCF of Denominators means GCF of 489,645,297 as per the given fractions.

GCF of 489,645,297 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,77,755

LCM of Fractions 12/489,77/645,755/297 is 232540

Given numbers has no common factors except 1. So, there LCM is their product i.e 697620

Least Common Multiple of 12,77,755 with GCF Formula

Least Common Multiple of 12,77,755 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 12,77,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,77,755) = 1

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

GCF(12,77,755) x common factors =1 x 1 = 1

LCM(12,77,755) = ( 12 × 77 × 755 ) / 1

LCM(12,77,755) = 697620 / 1

LCM(12,77,755) = 697620


Lets's calculate GCF of 489,645,297

3 489, 645, 297
163, 215, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 697620/3

Therefore the LCM of Fractions 12/489,77/645,755/297 is 232540

Greatest Common Factor of 489,645,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,645,297 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 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 489,645,297 . The biggest common factor number is the GCF number.
So the greatest common factor 489,645,297 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 12/489, 77/645, 755/297

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 12/489, 77/645, 755/297?

Answer: LCM of Numerators as per given numbers 12/489, 77/645, 755/297 is

LCM of Numerators i.e. for 12,77,755 is 697620

GCF of denominators i.e. for 489,645,297 is 3.

Thus, LCM of Fractions is 232540.Finally, LCM of Fractions for 12/489, 77/645, 755/297 is 232540.