Least Common Multiple of 90/311, 998/511, 538/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/311, 998/511, 538/538 quickly i.e. 12080790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/311, 998/511, 538/538 is 12080790.

LCM(90/311, 998/511, 538/538) = 12080790

LCM of 90/311, 998/511, 538/538

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 90/311,998/511,538/538

Given numbers are 90/311,998/511,538/538

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 90,998,538

Least Common Multiple of Numerators i.e. LCM of 90,998,538 is 12080790.

GCF of Denominators means GCF of 311,511,538 as per the given fractions.

GCF of 311,511,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,998,538

LCM of Fractions 90/311,998/511,538/538 is 12080790

2 90, 998, 538
45, 499, 269

∴ So the LCM of the given numbers is 2 x 45 x 499 x 269 = 12080790

Least Common Multiple of 90,998,538 with GCF Formula

Least Common Multiple of 90,998,538 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 90,998,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,998,538) = 2

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

GCF(90,998,538) x common factors =2 x 2 = 4

LCM(90,998,538) = ( 90 × 998 × 538 ) / 4

LCM(90,998,538) = 48323160 / 4

LCM(90,998,538) = 12080790


Lets's calculate GCF of 311,511,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12080790/1

Therefore the LCM of Fractions 90/311,998/511,538/538 is 12080790

Greatest Common Factor of 311,511,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,511,538 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 311,511,538 . The biggest common factor number is the GCF number.
So the greatest common factor 311,511,538 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/311, 998/511, 538/538

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 90/311, 998/511, 538/538?

Answer: LCM of Numerators as per given numbers 90/311, 998/511, 538/538 is

LCM of Numerators i.e. for 90,998,538 is 12080790

GCF of denominators i.e. for 311,511,538 is 1.

Thus, LCM of Fractions is 12080790.Finally, LCM of Fractions for 90/311, 998/511, 538/538 is 12080790.