Least Common Multiple of 3428/99, 9127/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3428/99, 9127/638 quickly i.e. 31287356/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3428/99, 9127/638 is 31287356/11.

LCM(3428/99, 9127/638) = 31287356/11

LCM of 3428/99, 9127/638

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 3428/99,9127/638

Given numbers are 3428/99,9127/638

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 3428,9127

Least Common Multiple of Numerators i.e. LCM of 3428,9127 is 31287356.

GCF of Denominators means GCF of 99,638 as per the given fractions.

GCF of 99,638 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3428,9127

LCM of Fractions 3428/99,9127/638 is 31287356/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 31287356

Least Common Multiple of 3428,9127 with GCF Formula

Least Common Multiple of 3428,9127 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 3428,9127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3428,9127) = 1

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

GCF(3428,9127) x common factors =1 x 1 = 1

LCM(3428,9127) = ( 3428 × 9127 ) / 1

LCM(3428,9127) = 31287356 / 1

LCM(3428,9127) = 31287356


Lets's calculate GCF of 99,638

11 99, 638
9, 58

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31287356/11

Therefore the LCM of Fractions 3428/99,9127/638 is 31287356/11

Greatest Common Factor of 99,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,638 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 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 99,638 . The biggest common factor number is the GCF number.
So the greatest common factor 99,638 is 11.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3428/99, 9127/638

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 3428/99, 9127/638?

Answer: LCM of Numerators as per given numbers 3428/99, 9127/638 is

LCM of Numerators i.e. for 3428,9127 is 31287356

GCF of denominators i.e. for 99,638 is 11.

Thus, LCM of Fractions is 31287356/11.Finally, LCM of Fractions for 3428/99, 9127/638 is 31287356/11.