Least Common Multiple of 409/16, 722/17, 847/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/16, 722/17, 847/240 quickly i.e. 250117406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/16, 722/17, 847/240 is 250117406.

LCM(409/16, 722/17, 847/240) = 250117406

LCM of 409/16, 722/17, 847/240

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 409/16,722/17,847/240

Given numbers are 409/16,722/17,847/240

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 409,722,847

Least Common Multiple of Numerators i.e. LCM of 409,722,847 is 250117406.

GCF of Denominators means GCF of 16,17,240 as per the given fractions.

GCF of 16,17,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,722,847

LCM of Fractions 409/16,722/17,847/240 is 250117406

Given numbers has no common factors except 1. So, there LCM is their product i.e 250117406

Least Common Multiple of 409,722,847 with GCF Formula

Least Common Multiple of 409,722,847 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 409,722,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,722,847) = 1

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

GCF(409,722,847) x common factors =1 x 1 = 1

LCM(409,722,847) = ( 409 × 722 × 847 ) / 1

LCM(409,722,847) = 250117406 / 1

LCM(409,722,847) = 250117406


Lets's calculate GCF of 16,17,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250117406/1

Therefore the LCM of Fractions 409/16,722/17,847/240 is 250117406

Greatest Common Factor of 16,17,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,17,240 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 16,17,240 . The biggest common factor number is the GCF number.
So the greatest common factor 16,17,240 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 409/16, 722/17, 847/240

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 409/16, 722/17, 847/240?

Answer: LCM of Numerators as per given numbers 409/16, 722/17, 847/240 is

LCM of Numerators i.e. for 409,722,847 is 250117406

GCF of denominators i.e. for 16,17,240 is 1.

Thus, LCM of Fractions is 250117406.Finally, LCM of Fractions for 409/16, 722/17, 847/240 is 250117406.