Least Common Multiple of 939/900, 342/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 939/900, 342/255 quickly i.e. 107046/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 939/900, 342/255 is 107046/15.

LCM(939/900, 342/255) = 107046/15

LCM of 939/900, 342/255

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 939/900,342/255

Given numbers are 939/900,342/255

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 939,342

Least Common Multiple of Numerators i.e. LCM of 939,342 is 107046.

GCF of Denominators means GCF of 900,255 as per the given fractions.

GCF of 900,255 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 939,342

LCM of Fractions 939/900,342/255 is 107046/15

3 939, 342
313, 114

∴ So the LCM of the given numbers is 3 x 313 x 114 = 107046

Least Common Multiple of 939,342 with GCF Formula

Least Common Multiple of 939,342 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 939,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,342) = 3

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

GCF(939,342) x common factors =3 x 1 = 3

LCM(939,342) = ( 939 × 342 ) / 3

LCM(939,342) = 321138 / 3

LCM(939,342) = 107046


Lets's calculate GCF of 900,255

3 900, 255
5 300, 85
60, 17

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107046/15

Therefore the LCM of Fractions 939/900,342/255 is 107046/15

Greatest Common Factor of 900,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,255 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 900,255 . The biggest common factor number is the GCF number.
So the greatest common factor 900,255 is 15.


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 939/900, 342/255

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 939/900, 342/255?

Answer: LCM of Numerators as per given numbers 939/900, 342/255 is

LCM of Numerators i.e. for 939,342 is 107046

GCF of denominators i.e. for 900,255 is 15.

Thus, LCM of Fractions is 107046/15.Finally, LCM of Fractions for 939/900, 342/255 is 107046/15.