Least Common Multiple of 90/99, 31/18, 83/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/99, 31/18, 83/412 quickly i.e. 231570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/99, 31/18, 83/412 is 231570.

LCM(90/99, 31/18, 83/412) = 231570

LCM of 90/99, 31/18, 83/412

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 90/99,31/18,83/412

Given numbers are 90/99,31/18,83/412

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 90,31,83

Least Common Multiple of Numerators i.e. LCM of 90,31,83 is 231570.

GCF of Denominators means GCF of 99,18,412 as per the given fractions.

GCF of 99,18,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,31,83

LCM of Fractions 90/99,31/18,83/412 is 231570

Given numbers has no common factors except 1. So, there LCM is their product i.e 231570

Least Common Multiple of 90,31,83 with GCF Formula

Least Common Multiple of 90,31,83 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 90,31,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,31,83) = 1

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

GCF(90,31,83) x common factors =1 x 1 = 1

LCM(90,31,83) = ( 90 × 31 × 83 ) / 1

LCM(90,31,83) = 231570 / 1

LCM(90,31,83) = 231570


Lets's calculate GCF of 99,18,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231570/1

Therefore the LCM of Fractions 90/99,31/18,83/412 is 231570

Greatest Common Factor of 99,18,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,18,412 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 99,18,412 . The biggest common factor number is the GCF number.
So the greatest common factor 99,18,412 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 90/99, 31/18, 83/412

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 90/99, 31/18, 83/412?

Answer: LCM of Numerators as per given numbers 90/99, 31/18, 83/412 is

LCM of Numerators i.e. for 90,31,83 is 231570

GCF of denominators i.e. for 99,18,412 is 1.

Thus, LCM of Fractions is 231570.Finally, LCM of Fractions for 90/99, 31/18, 83/412 is 231570.