Least Common Multiple of 1361/285, 9668/5705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1361/285, 9668/5705 quickly i.e. 13158148/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1361/285, 9668/5705 is 13158148/5.

LCM(1361/285, 9668/5705) = 13158148/5

LCM of 1361/285, 9668/5705

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 1361/285,9668/5705

Given numbers are 1361/285,9668/5705

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 1361,9668

Least Common Multiple of Numerators i.e. LCM of 1361,9668 is 13158148.

GCF of Denominators means GCF of 285,5705 as per the given fractions.

GCF of 285,5705 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1361,9668

LCM of Fractions 1361/285,9668/5705 is 13158148/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 13158148

Least Common Multiple of 1361,9668 with GCF Formula

Least Common Multiple of 1361,9668 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 1361,9668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1361,9668) = 1

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

GCF(1361,9668) x common factors =1 x 1 = 1

LCM(1361,9668) = ( 1361 × 9668 ) / 1

LCM(1361,9668) = 13158148 / 1

LCM(1361,9668) = 13158148


Lets's calculate GCF of 285,5705

5 285, 5705
57, 1141

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13158148/5

Therefore the LCM of Fractions 1361/285,9668/5705 is 13158148/5

Greatest Common Factor of 285,5705 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,5705 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 5705

List of positive integer factors of 5705 that divides 5705 without a remainder.

1,5,7,35,163,815,1141,5705

Greatest Common Factor

We found the factors 285,5705 . The biggest common factor number is the GCF number.
So the greatest common factor 285,5705 is 5.


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 1361/285, 9668/5705

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 1361/285, 9668/5705?

Answer: LCM of Numerators as per given numbers 1361/285, 9668/5705 is

LCM of Numerators i.e. for 1361,9668 is 13158148

GCF of denominators i.e. for 285,5705 is 5.

Thus, LCM of Fractions is 13158148/5.Finally, LCM of Fractions for 1361/285, 9668/5705 is 13158148/5.