Least Common Multiple of 41/660, 326/678, 542/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/660, 326/678, 542/631 quickly i.e. 3622186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/660, 326/678, 542/631 is 3622186.

LCM(41/660, 326/678, 542/631) = 3622186

LCM of 41/660, 326/678, 542/631

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 41/660,326/678,542/631

Given numbers are 41/660,326/678,542/631

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 41,326,542

Least Common Multiple of Numerators i.e. LCM of 41,326,542 is 3622186.

GCF of Denominators means GCF of 660,678,631 as per the given fractions.

GCF of 660,678,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,326,542

LCM of Fractions 41/660,326/678,542/631 is 3622186

2 41, 326, 542
41, 163, 271

∴ So the LCM of the given numbers is 2 x 41 x 163 x 271 = 3622186

Least Common Multiple of 41,326,542 with GCF Formula

Least Common Multiple of 41,326,542 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 41,326,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,326,542) = 1

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

GCF(41,326,542) x common factors =1 x 2 = 2

LCM(41,326,542) = ( 41 × 326 × 542 ) / 2

LCM(41,326,542) = 7244372 / 2

LCM(41,326,542) = 3622186


Lets's calculate GCF of 660,678,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3622186/1

Therefore the LCM of Fractions 41/660,326/678,542/631 is 3622186

Greatest Common Factor of 660,678,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,678,631 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 660,678,631 . The biggest common factor number is the GCF number.
So the greatest common factor 660,678,631 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 41/660, 326/678, 542/631

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 41/660, 326/678, 542/631?

Answer: LCM of Numerators as per given numbers 41/660, 326/678, 542/631 is

LCM of Numerators i.e. for 41,326,542 is 3622186

GCF of denominators i.e. for 660,678,631 is 1.

Thus, LCM of Fractions is 3622186.Finally, LCM of Fractions for 41/660, 326/678, 542/631 is 3622186.