Least Common Multiple of 41/674, 494/682, 646/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/674, 494/682, 646/201 quickly i.e. 344318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/674, 494/682, 646/201 is 344318.

LCM(41/674, 494/682, 646/201) = 344318

LCM of 41/674, 494/682, 646/201

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 41/674,494/682,646/201

Given numbers are 41/674,494/682,646/201

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 41,494,646

Least Common Multiple of Numerators i.e. LCM of 41,494,646 is 344318.

GCF of Denominators means GCF of 674,682,201 as per the given fractions.

GCF of 674,682,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,494,646

LCM of Fractions 41/674,494/682,646/201 is 344318

2 41, 494, 646
19 41, 247, 323
41, 13, 17

∴ So the LCM of the given numbers is 2 x 19 x 41 x 13 x 17 = 344318

Least Common Multiple of 41,494,646 with GCF Formula

Least Common Multiple of 41,494,646 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 41,494,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,494,646) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(41,494,646) x common factors =1 x 38 = 38

LCM(41,494,646) = ( 41 × 494 × 646 ) / 38

LCM(41,494,646) = 13084084 / 38

LCM(41,494,646) = 344318


Lets's calculate GCF of 674,682,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344318/1

Therefore the LCM of Fractions 41/674,494/682,646/201 is 344318

Greatest Common Factor of 674,682,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,682,201 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 674,682,201 . The biggest common factor number is the GCF number.
So the greatest common factor 674,682,201 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 41/674, 494/682, 646/201

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 41/674, 494/682, 646/201?

Answer: LCM of Numerators as per given numbers 41/674, 494/682, 646/201 is

LCM of Numerators i.e. for 41,494,646 is 344318

GCF of denominators i.e. for 674,682,201 is 1.

Thus, LCM of Fractions is 344318.Finally, LCM of Fractions for 41/674, 494/682, 646/201 is 344318.