Least Common Multiple of 91/204, 4043/5562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/204, 4043/5562 quickly i.e. 28301/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/204, 4043/5562 is 28301/6.

LCM(91/204, 4043/5562) = 28301/6

LCM of 91/204, 4043/5562

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 91/204,4043/5562

Given numbers are 91/204,4043/5562

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 91,4043

Least Common Multiple of Numerators i.e. LCM of 91,4043 is 28301.

GCF of Denominators means GCF of 204,5562 as per the given fractions.

GCF of 204,5562 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,4043

LCM of Fractions 91/204,4043/5562 is 28301/6

13 91, 4043
7, 311

∴ So the LCM of the given numbers is 13 x 7 x 311 = 28301

Least Common Multiple of 91,4043 with GCF Formula

Least Common Multiple of 91,4043 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 91,4043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,4043) = 13

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

GCF(91,4043) x common factors =13 x 1 = 13

LCM(91,4043) = ( 91 × 4043 ) / 13

LCM(91,4043) = 367913 / 13

LCM(91,4043) = 28301


Lets's calculate GCF of 204,5562

2 204, 5562
3 102, 2781
34, 927

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28301/6

Therefore the LCM of Fractions 91/204,4043/5562 is 28301/6

Greatest Common Factor of 204,5562 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,5562 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562

Greatest Common Factor

We found the factors 204,5562 . The biggest common factor number is the GCF number.
So the greatest common factor 204,5562 is 6.


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 91/204, 4043/5562

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 91/204, 4043/5562?

Answer: LCM of Numerators as per given numbers 91/204, 4043/5562 is

LCM of Numerators i.e. for 91,4043 is 28301

GCF of denominators i.e. for 204,5562 is 6.

Thus, LCM of Fractions is 28301/6.Finally, LCM of Fractions for 91/204, 4043/5562 is 28301/6.