Least Common Multiple of 90/255, 409/476, 538/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/255, 409/476, 538/112 quickly i.e. 9901890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/255, 409/476, 538/112 is 9901890.

LCM(90/255, 409/476, 538/112) = 9901890

LCM of 90/255, 409/476, 538/112

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 90/255,409/476,538/112

Given numbers are 90/255,409/476,538/112

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 90,409,538

Least Common Multiple of Numerators i.e. LCM of 90,409,538 is 9901890.

GCF of Denominators means GCF of 255,476,112 as per the given fractions.

GCF of 255,476,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,409,538

LCM of Fractions 90/255,409/476,538/112 is 9901890

2 90, 409, 538
45, 409, 269

∴ So the LCM of the given numbers is 2 x 45 x 409 x 269 = 9901890

Least Common Multiple of 90,409,538 with GCF Formula

Least Common Multiple of 90,409,538 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 90,409,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,409,538) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(90,409,538) x common factors =1 x 2 = 2

LCM(90,409,538) = ( 90 × 409 × 538 ) / 2

LCM(90,409,538) = 19803780 / 2

LCM(90,409,538) = 9901890


Lets's calculate GCF of 255,476,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9901890/1

Therefore the LCM of Fractions 90/255,409/476,538/112 is 9901890

Greatest Common Factor of 255,476,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,476,112 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 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 255,476,112 . The biggest common factor number is the GCF number.
So the greatest common factor 255,476,112 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 90/255, 409/476, 538/112

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 90/255, 409/476, 538/112?

Answer: LCM of Numerators as per given numbers 90/255, 409/476, 538/112 is

LCM of Numerators i.e. for 90,409,538 is 9901890

GCF of denominators i.e. for 255,476,112 is 1.

Thus, LCM of Fractions is 9901890.Finally, LCM of Fractions for 90/255, 409/476, 538/112 is 9901890.