Least Common Multiple of 90/199, 99/318, 807/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/199, 99/318, 807/633 quickly i.e. 266310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/199, 99/318, 807/633 is 266310.

LCM(90/199, 99/318, 807/633) = 266310

LCM of 90/199, 99/318, 807/633

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 90/199,99/318,807/633

Given numbers are 90/199,99/318,807/633

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 90,99,807

Least Common Multiple of Numerators i.e. LCM of 90,99,807 is 266310.

GCF of Denominators means GCF of 199,318,633 as per the given fractions.

GCF of 199,318,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,99,807

LCM of Fractions 90/199,99/318,807/633 is 266310

3 90, 99, 807
3 30, 33, 269
10, 11, 269

∴ So the LCM of the given numbers is 3 x 3 x 10 x 11 x 269 = 266310

Least Common Multiple of 90,99,807 with GCF Formula

Least Common Multiple of 90,99,807 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 90,99,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,99,807) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(90,99,807) x common factors =3 x 9 = 27

LCM(90,99,807) = ( 90 × 99 × 807 ) / 27

LCM(90,99,807) = 7190370 / 27

LCM(90,99,807) = 266310


Lets's calculate GCF of 199,318,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266310/1

Therefore the LCM of Fractions 90/199,99/318,807/633 is 266310

Greatest Common Factor of 199,318,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,318,633 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 199,318,633 . The biggest common factor number is the GCF number.
So the greatest common factor 199,318,633 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 90/199, 99/318, 807/633

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 90/199, 99/318, 807/633?

Answer: LCM of Numerators as per given numbers 90/199, 99/318, 807/633 is

LCM of Numerators i.e. for 90,99,807 is 266310

GCF of denominators i.e. for 199,318,633 is 1.

Thus, LCM of Fractions is 266310.Finally, LCM of Fractions for 90/199, 99/318, 807/633 is 266310.