Least Common Multiple of 41/783, 482/13, 362/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/783, 482/13, 362/944 quickly i.e. 3576922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/783, 482/13, 362/944 is 3576922.

LCM(41/783, 482/13, 362/944) = 3576922

LCM of 41/783, 482/13, 362/944

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 41/783,482/13,362/944

Given numbers are 41/783,482/13,362/944

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 41,482,362

Least Common Multiple of Numerators i.e. LCM of 41,482,362 is 3576922.

GCF of Denominators means GCF of 783,13,944 as per the given fractions.

GCF of 783,13,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,482,362

LCM of Fractions 41/783,482/13,362/944 is 3576922

2 41, 482, 362
41, 241, 181

∴ So the LCM of the given numbers is 2 x 41 x 241 x 181 = 3576922

Least Common Multiple of 41,482,362 with GCF Formula

Least Common Multiple of 41,482,362 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 41,482,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,482,362) = 1

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

GCF(41,482,362) x common factors =1 x 2 = 2

LCM(41,482,362) = ( 41 × 482 × 362 ) / 2

LCM(41,482,362) = 7153844 / 2

LCM(41,482,362) = 3576922


Lets's calculate GCF of 783,13,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3576922/1

Therefore the LCM of Fractions 41/783,482/13,362/944 is 3576922

Greatest Common Factor of 783,13,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,13,944 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 783,13,944 . The biggest common factor number is the GCF number.
So the greatest common factor 783,13,944 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/783, 482/13, 362/944

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 41/783, 482/13, 362/944?

Answer: LCM of Numerators as per given numbers 41/783, 482/13, 362/944 is

LCM of Numerators i.e. for 41,482,362 is 3576922

GCF of denominators i.e. for 783,13,944 is 1.

Thus, LCM of Fractions is 3576922.Finally, LCM of Fractions for 41/783, 482/13, 362/944 is 3576922.