Least Common Multiple of 99/406, 2223/2790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/406, 2223/2790 quickly i.e. 24453/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/406, 2223/2790 is 24453/2.

LCM(99/406, 2223/2790) = 24453/2

LCM of 99/406, 2223/2790

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 99/406,2223/2790

Given numbers are 99/406,2223/2790

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 99,2223

Least Common Multiple of Numerators i.e. LCM of 99,2223 is 24453.

GCF of Denominators means GCF of 406,2790 as per the given fractions.

GCF of 406,2790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,2223

LCM of Fractions 99/406,2223/2790 is 24453/2

3 99, 2223
3 33, 741
11, 247

∴ So the LCM of the given numbers is 3 x 3 x 11 x 247 = 24453

Least Common Multiple of 99,2223 with GCF Formula

Least Common Multiple of 99,2223 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 99,2223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,2223) = 9

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

GCF(99,2223) x common factors =9 x 1 = 9

LCM(99,2223) = ( 99 × 2223 ) / 9

LCM(99,2223) = 220077 / 9

LCM(99,2223) = 24453


Lets's calculate GCF of 406,2790

2 406, 2790
203, 1395

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24453/2

Therefore the LCM of Fractions 99/406,2223/2790 is 24453/2

Greatest Common Factor of 406,2790 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,2790 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 2790

List of positive integer factors of 2790 that divides 2790 without a remainder.

1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790

Greatest Common Factor

We found the factors 406,2790 . The biggest common factor number is the GCF number.
So the greatest common factor 406,2790 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/406, 2223/2790

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 99/406, 2223/2790?

Answer: LCM of Numerators as per given numbers 99/406, 2223/2790 is

LCM of Numerators i.e. for 99,2223 is 24453

GCF of denominators i.e. for 406,2790 is 2.

Thus, LCM of Fractions is 24453/2.Finally, LCM of Fractions for 99/406, 2223/2790 is 24453/2.