Least Common Multiple of 409/565, 1363/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/565, 1363/106 quickly i.e. 557467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/565, 1363/106 is 557467.

LCM(409/565, 1363/106) = 557467

LCM of 409/565, 1363/106

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 409/565,1363/106

Given numbers are 409/565,1363/106

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 409,1363

Least Common Multiple of Numerators i.e. LCM of 409,1363 is 557467.

GCF of Denominators means GCF of 565,106 as per the given fractions.

GCF of 565,106 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,1363

LCM of Fractions 409/565,1363/106 is 557467

Given numbers has no common factors except 1. So, there LCM is their product i.e 557467

Least Common Multiple of 409,1363 with GCF Formula

Least Common Multiple of 409,1363 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 409,1363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,1363) = 1

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

GCF(409,1363) x common factors =1 x 1 = 1

LCM(409,1363) = ( 409 × 1363 ) / 1

LCM(409,1363) = 557467 / 1

LCM(409,1363) = 557467


Lets's calculate GCF of 565,106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 557467/1

Therefore the LCM of Fractions 409/565,1363/106 is 557467

Greatest Common Factor of 565,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,106 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 565,106 . The biggest common factor number is the GCF number.
So the greatest common factor 565,106 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 409/565, 1363/106

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 409/565, 1363/106?

Answer: LCM of Numerators as per given numbers 409/565, 1363/106 is

LCM of Numerators i.e. for 409,1363 is 557467

GCF of denominators i.e. for 565,106 is 1.

Thus, LCM of Fractions is 557467.Finally, LCM of Fractions for 409/565, 1363/106 is 557467.