Least Common Multiple of 978/604, 149/124, 255/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/604, 149/124, 255/266 quickly i.e. 6193185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/604, 149/124, 255/266 is 6193185.

LCM(978/604, 149/124, 255/266) = 6193185

LCM of 978/604, 149/124, 255/266

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 978/604,149/124,255/266

Given numbers are 978/604,149/124,255/266

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 978,149,255

Least Common Multiple of Numerators i.e. LCM of 978,149,255 is 12386370.

GCF of Denominators means GCF of 604,124,266 as per the given fractions.

GCF of 604,124,266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,149,255

LCM of Fractions 978/604,149/124,255/266 is 6193185

3 978, 149, 255
326, 149, 85

∴ So the LCM of the given numbers is 3 x 326 x 149 x 85 = 12386370

Least Common Multiple of 978,149,255 with GCF Formula

Least Common Multiple of 978,149,255 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 978,149,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,149,255) = 1

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

GCF(978,149,255) x common factors =1 x 3 = 3

LCM(978,149,255) = ( 978 × 149 × 255 ) / 3

LCM(978,149,255) = 37159110 / 3

LCM(978,149,255) = 12386370


Lets's calculate GCF of 604,124,266

2 604, 124, 266
302, 62, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12386370/2

Therefore the LCM of Fractions 978/604,149/124,255/266 is 6193185

Greatest Common Factor of 604,124,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,124,266 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 604,124,266 . The biggest common factor number is the GCF number.
So the greatest common factor 604,124,266 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 978/604, 149/124, 255/266

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 978/604, 149/124, 255/266?

Answer: LCM of Numerators as per given numbers 978/604, 149/124, 255/266 is

LCM of Numerators i.e. for 978,149,255 is 12386370

GCF of denominators i.e. for 604,124,266 is 2.

Thus, LCM of Fractions is 6193185.Finally, LCM of Fractions for 978/604, 149/124, 255/266 is 6193185.