Least Common Multiple of 60/404, 41/298, 643/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/404, 41/298, 643/382 quickly i.e. 790890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/404, 41/298, 643/382 is 790890.

LCM(60/404, 41/298, 643/382) = 790890

LCM of 60/404, 41/298, 643/382

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 60/404,41/298,643/382

Given numbers are 60/404,41/298,643/382

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 60,41,643

Least Common Multiple of Numerators i.e. LCM of 60,41,643 is 1581780.

GCF of Denominators means GCF of 404,298,382 as per the given fractions.

GCF of 404,298,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,41,643

LCM of Fractions 60/404,41/298,643/382 is 790890

Given numbers has no common factors except 1. So, there LCM is their product i.e 1581780

Least Common Multiple of 60,41,643 with GCF Formula

Least Common Multiple of 60,41,643 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 60,41,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,41,643) = 1

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

GCF(60,41,643) x common factors =1 x 1 = 1

LCM(60,41,643) = ( 60 × 41 × 643 ) / 1

LCM(60,41,643) = 1581780 / 1

LCM(60,41,643) = 1581780


Lets's calculate GCF of 404,298,382

2 404, 298, 382
202, 149, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1581780/2

Therefore the LCM of Fractions 60/404,41/298,643/382 is 790890

Greatest Common Factor of 404,298,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,298,382 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 404,298,382 . The biggest common factor number is the GCF number.
So the greatest common factor 404,298,382 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 60/404, 41/298, 643/382

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 60/404, 41/298, 643/382?

Answer: LCM of Numerators as per given numbers 60/404, 41/298, 643/382 is

LCM of Numerators i.e. for 60,41,643 is 1581780

GCF of denominators i.e. for 404,298,382 is 2.

Thus, LCM of Fractions is 790890.Finally, LCM of Fractions for 60/404, 41/298, 643/382 is 790890.