Least Common Multiple of 688/13, 929/12, 303/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 688/13, 929/12, 303/99 quickly i.e. 193663056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/13, 929/12, 303/99 is 193663056.

LCM(688/13, 929/12, 303/99) = 193663056

LCM of 688/13, 929/12, 303/99

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 688/13,929/12,303/99

Given numbers are 688/13,929/12,303/99

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 688,929,303

Least Common Multiple of Numerators i.e. LCM of 688,929,303 is 193663056.

GCF of Denominators means GCF of 13,12,99 as per the given fractions.

GCF of 13,12,99 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,929,303

LCM of Fractions 688/13,929/12,303/99 is 193663056

Given numbers has no common factors except 1. So, there LCM is their product i.e 193663056

Least Common Multiple of 688,929,303 with GCF Formula

Least Common Multiple of 688,929,303 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 688,929,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,929,303) = 1

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

GCF(688,929,303) x common factors =1 x 1 = 1

LCM(688,929,303) = ( 688 × 929 × 303 ) / 1

LCM(688,929,303) = 193663056 / 1

LCM(688,929,303) = 193663056


Lets's calculate GCF of 13,12,99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193663056/1

Therefore the LCM of Fractions 688/13,929/12,303/99 is 193663056

Greatest Common Factor of 13,12,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,12,99 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 99

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

1,3,9,11,33,99

Greatest Common Factor

We found the factors 13,12,99 . The biggest common factor number is the GCF number.
So the greatest common factor 13,12,99 is 1.


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Frequently Asked Questions on Fractional LCM of 688/13, 929/12, 303/99

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 688/13, 929/12, 303/99?

Answer: LCM of Numerators as per given numbers 688/13, 929/12, 303/99 is

LCM of Numerators i.e. for 688,929,303 is 193663056

GCF of denominators i.e. for 13,12,99 is 1.

Thus, LCM of Fractions is 193663056.Finally, LCM of Fractions for 688/13, 929/12, 303/99 is 193663056.