Least Common Multiple of 255/43, 748/41, 123/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/43, 748/41, 123/990 quickly i.e. 460020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/43, 748/41, 123/990 is 460020.

LCM(255/43, 748/41, 123/990) = 460020

LCM of 255/43, 748/41, 123/990

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 255/43,748/41,123/990

Given numbers are 255/43,748/41,123/990

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 255,748,123

Least Common Multiple of Numerators i.e. LCM of 255,748,123 is 460020.

GCF of Denominators means GCF of 43,41,990 as per the given fractions.

GCF of 43,41,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,748,123

LCM of Fractions 255/43,748/41,123/990 is 460020

3 255, 748, 123
17 85, 748, 41
5, 44, 41

∴ So the LCM of the given numbers is 3 x 17 x 5 x 44 x 41 = 460020

Least Common Multiple of 255,748,123 with GCF Formula

Least Common Multiple of 255,748,123 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 255,748,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,748,123) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(255,748,123) x common factors =1 x 51 = 51

LCM(255,748,123) = ( 255 × 748 × 123 ) / 51

LCM(255,748,123) = 23461020 / 51

LCM(255,748,123) = 460020


Lets's calculate GCF of 43,41,990

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 460020/1

Therefore the LCM of Fractions 255/43,748/41,123/990 is 460020

Greatest Common Factor of 43,41,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,41,990 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 43,41,990 . The biggest common factor number is the GCF number.
So the greatest common factor 43,41,990 is 1.


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 255/43, 748/41, 123/990

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 255/43, 748/41, 123/990?

Answer: LCM of Numerators as per given numbers 255/43, 748/41, 123/990 is

LCM of Numerators i.e. for 255,748,123 is 460020

GCF of denominators i.e. for 43,41,990 is 1.

Thus, LCM of Fractions is 460020.Finally, LCM of Fractions for 255/43, 748/41, 123/990 is 460020.