Least Common Multiple of 99/690, 5454/1306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/690, 5454/1306 quickly i.e. 29997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/690, 5454/1306 is 29997.

LCM(99/690, 5454/1306) = 29997

LCM of 99/690, 5454/1306

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 99/690,5454/1306

Given numbers are 99/690,5454/1306

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 99,5454

Least Common Multiple of Numerators i.e. LCM of 99,5454 is 59994.

GCF of Denominators means GCF of 690,1306 as per the given fractions.

GCF of 690,1306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,5454

LCM of Fractions 99/690,5454/1306 is 29997

3 99, 5454
3 33, 1818
11, 606

∴ So the LCM of the given numbers is 3 x 3 x 11 x 606 = 59994

Least Common Multiple of 99,5454 with GCF Formula

Least Common Multiple of 99,5454 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 99,5454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,5454) = 9

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

GCF(99,5454) x common factors =9 x 1 = 9

LCM(99,5454) = ( 99 × 5454 ) / 9

LCM(99,5454) = 539946 / 9

LCM(99,5454) = 59994


Lets's calculate GCF of 690,1306

2 690, 1306
345, 653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59994/2

Therefore the LCM of Fractions 99/690,5454/1306 is 29997

Greatest Common Factor of 690,1306 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,1306 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 1306

List of positive integer factors of 1306 that divides 1306 without a remainder.

1,2,653,1306

Greatest Common Factor

We found the factors 690,1306 . The biggest common factor number is the GCF number.
So the greatest common factor 690,1306 is 2.


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Frequently Asked Questions on Fractional LCM of 99/690, 5454/1306

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 99/690, 5454/1306?

Answer: LCM of Numerators as per given numbers 99/690, 5454/1306 is

LCM of Numerators i.e. for 99,5454 is 59994

GCF of denominators i.e. for 690,1306 is 2.

Thus, LCM of Fractions is 29997.Finally, LCM of Fractions for 99/690, 5454/1306 is 29997.