Least Common Multiple of 281/35, 104/9676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 281/35, 104/9676 quickly i.e. 29224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 281/35, 104/9676 is 29224.

LCM(281/35, 104/9676) = 29224

LCM of 281/35, 104/9676

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 281/35,104/9676

Given numbers are 281/35,104/9676

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 281,104

Least Common Multiple of Numerators i.e. LCM of 281,104 is 29224.

GCF of Denominators means GCF of 35,9676 as per the given fractions.

GCF of 35,9676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 281,104

LCM of Fractions 281/35,104/9676 is 29224

Given numbers has no common factors except 1. So, there LCM is their product i.e 29224

Least Common Multiple of 281,104 with GCF Formula

Least Common Multiple of 281,104 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 281,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,104) = 1

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

GCF(281,104) x common factors =1 x 1 = 1

LCM(281,104) = ( 281 × 104 ) / 1

LCM(281,104) = 29224 / 1

LCM(281,104) = 29224


Lets's calculate GCF of 35,9676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29224/1

Therefore the LCM of Fractions 281/35,104/9676 is 29224

Greatest Common Factor of 35,9676 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,9676 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1,2,4,41,59,82,118,164,236,2419,4838,9676

Greatest Common Factor

We found the factors 35,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 35,9676 is 1.


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 281/35, 104/9676

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 281/35, 104/9676?

Answer: LCM of Numerators as per given numbers 281/35, 104/9676 is

LCM of Numerators i.e. for 281,104 is 29224

GCF of denominators i.e. for 35,9676 is 1.

Thus, LCM of Fractions is 29224.Finally, LCM of Fractions for 281/35, 104/9676 is 29224.