Least Common Multiple of 409/43, 348/20, 295/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/43, 348/20, 295/821 quickly i.e. 41987940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/43, 348/20, 295/821 is 41987940.

LCM(409/43, 348/20, 295/821) = 41987940

LCM of 409/43, 348/20, 295/821

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 409/43,348/20,295/821

Given numbers are 409/43,348/20,295/821

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 409,348,295

Least Common Multiple of Numerators i.e. LCM of 409,348,295 is 41987940.

GCF of Denominators means GCF of 43,20,821 as per the given fractions.

GCF of 43,20,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,348,295

LCM of Fractions 409/43,348/20,295/821 is 41987940

Given numbers has no common factors except 1. So, there LCM is their product i.e 41987940

Least Common Multiple of 409,348,295 with GCF Formula

Least Common Multiple of 409,348,295 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 409,348,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,348,295) = 1

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

GCF(409,348,295) x common factors =1 x 1 = 1

LCM(409,348,295) = ( 409 × 348 × 295 ) / 1

LCM(409,348,295) = 41987940 / 1

LCM(409,348,295) = 41987940


Lets's calculate GCF of 43,20,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41987940/1

Therefore the LCM of Fractions 409/43,348/20,295/821 is 41987940

Greatest Common Factor of 43,20,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,20,821 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 43,20,821 . The biggest common factor number is the GCF number.
So the greatest common factor 43,20,821 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 409/43, 348/20, 295/821

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 409/43, 348/20, 295/821?

Answer: LCM of Numerators as per given numbers 409/43, 348/20, 295/821 is

LCM of Numerators i.e. for 409,348,295 is 41987940

GCF of denominators i.e. for 43,20,821 is 1.

Thus, LCM of Fractions is 41987940.Finally, LCM of Fractions for 409/43, 348/20, 295/821 is 41987940.