Least Common Multiple of 409/86, 298/76, 648/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/86, 298/76, 648/474 quickly i.e. 19744884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/86, 298/76, 648/474 is 19744884.

LCM(409/86, 298/76, 648/474) = 19744884

LCM of 409/86, 298/76, 648/474

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 409/86,298/76,648/474

Given numbers are 409/86,298/76,648/474

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 409,298,648

Least Common Multiple of Numerators i.e. LCM of 409,298,648 is 39489768.

GCF of Denominators means GCF of 86,76,474 as per the given fractions.

GCF of 86,76,474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,298,648

LCM of Fractions 409/86,298/76,648/474 is 19744884

2 409, 298, 648
409, 149, 324

∴ So the LCM of the given numbers is 2 x 409 x 149 x 324 = 39489768

Least Common Multiple of 409,298,648 with GCF Formula

Least Common Multiple of 409,298,648 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 409,298,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,298,648) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(409,298,648) x common factors =1 x 2 = 2

LCM(409,298,648) = ( 409 × 298 × 648 ) / 2

LCM(409,298,648) = 78979536 / 2

LCM(409,298,648) = 39489768


Lets's calculate GCF of 86,76,474

2 86, 76, 474
43, 38, 237

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39489768/2

Therefore the LCM of Fractions 409/86,298/76,648/474 is 19744884

Greatest Common Factor of 86,76,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,76,474 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 86,76,474 . The biggest common factor number is the GCF number.
So the greatest common factor 86,76,474 is 2.


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 409/86, 298/76, 648/474

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 409/86, 298/76, 648/474?

Answer: LCM of Numerators as per given numbers 409/86, 298/76, 648/474 is

LCM of Numerators i.e. for 409,298,648 is 39489768

GCF of denominators i.e. for 86,76,474 is 2.

Thus, LCM of Fractions is 19744884.Finally, LCM of Fractions for 409/86, 298/76, 648/474 is 19744884.