Least Common Multiple of 268/666, 5205/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/666, 5205/744 quickly i.e. 232490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/666, 5205/744 is 232490.

LCM(268/666, 5205/744) = 232490

LCM of 268/666, 5205/744

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 268/666,5205/744

Given numbers are 268/666,5205/744

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 268,5205

Least Common Multiple of Numerators i.e. LCM of 268,5205 is 1394940.

GCF of Denominators means GCF of 666,744 as per the given fractions.

GCF of 666,744 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,5205

LCM of Fractions 268/666,5205/744 is 232490

Given numbers has no common factors except 1. So, there LCM is their product i.e 1394940

Least Common Multiple of 268,5205 with GCF Formula

Least Common Multiple of 268,5205 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 268,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,5205) = 1

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

GCF(268,5205) x common factors =1 x 1 = 1

LCM(268,5205) = ( 268 × 5205 ) / 1

LCM(268,5205) = 1394940 / 1

LCM(268,5205) = 1394940


Lets's calculate GCF of 666,744

2 666, 744
3 333, 372
111, 124

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1394940/6

Therefore the LCM of Fractions 268/666,5205/744 is 232490

Greatest Common Factor of 666,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,744 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 666,744 . The biggest common factor number is the GCF number.
So the greatest common factor 666,744 is 6.


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 268/666, 5205/744

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 268/666, 5205/744?

Answer: LCM of Numerators as per given numbers 268/666, 5205/744 is

LCM of Numerators i.e. for 268,5205 is 1394940

GCF of denominators i.e. for 666,744 is 6.

Thus, LCM of Fractions is 232490.Finally, LCM of Fractions for 268/666, 5205/744 is 232490.