Least Common Multiple of 42/255, 8204/5880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/255, 8204/5880 quickly i.e. 24612/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/255, 8204/5880 is 24612/15.

LCM(42/255, 8204/5880) = 24612/15

LCM of 42/255, 8204/5880

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 42/255,8204/5880

Given numbers are 42/255,8204/5880

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 42,8204

Least Common Multiple of Numerators i.e. LCM of 42,8204 is 24612.

GCF of Denominators means GCF of 255,5880 as per the given fractions.

GCF of 255,5880 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,8204

LCM of Fractions 42/255,8204/5880 is 24612/15

2 42, 8204
7 21, 4102
3, 586

∴ So the LCM of the given numbers is 2 x 7 x 3 x 586 = 24612

Least Common Multiple of 42,8204 with GCF Formula

Least Common Multiple of 42,8204 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 42,8204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,8204) = 14

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

GCF(42,8204) x common factors =14 x 1 = 14

LCM(42,8204) = ( 42 × 8204 ) / 14

LCM(42,8204) = 344568 / 14

LCM(42,8204) = 24612


Lets's calculate GCF of 255,5880

3 255, 5880
5 85, 1960
17, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24612/15

Therefore the LCM of Fractions 42/255,8204/5880 is 24612/15

Greatest Common Factor of 255,5880 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,5880 By Matching Biggest Common Factor Method

Factors of 255

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

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

Factors of 5880

List of positive integer factors of 5880 that divides 5880 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880

Greatest Common Factor

We found the factors 255,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 255,5880 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 42/255, 8204/5880

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 42/255, 8204/5880?

Answer: LCM of Numerators as per given numbers 42/255, 8204/5880 is

LCM of Numerators i.e. for 42,8204 is 24612

GCF of denominators i.e. for 255,5880 is 15.

Thus, LCM of Fractions is 24612/15.Finally, LCM of Fractions for 42/255, 8204/5880 is 24612/15.