Least Common Multiple of 41/61, 79/735, 683/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/61, 79/735, 683/432 quickly i.e. 2212237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/61, 79/735, 683/432 is 2212237.

LCM(41/61, 79/735, 683/432) = 2212237

LCM of 41/61, 79/735, 683/432

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 41/61,79/735,683/432

Given numbers are 41/61,79/735,683/432

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 41,79,683

Least Common Multiple of Numerators i.e. LCM of 41,79,683 is 2212237.

GCF of Denominators means GCF of 61,735,432 as per the given fractions.

GCF of 61,735,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,79,683

LCM of Fractions 41/61,79/735,683/432 is 2212237

Given numbers has no common factors except 1. So, there LCM is their product i.e 2212237

Least Common Multiple of 41,79,683 with GCF Formula

Least Common Multiple of 41,79,683 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 41,79,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,79,683) = 1

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

GCF(41,79,683) x common factors =1 x 1 = 1

LCM(41,79,683) = ( 41 × 79 × 683 ) / 1

LCM(41,79,683) = 2212237 / 1

LCM(41,79,683) = 2212237


Lets's calculate GCF of 61,735,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2212237/1

Therefore the LCM of Fractions 41/61,79/735,683/432 is 2212237

Greatest Common Factor of 61,735,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,735,432 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 61,735,432 . The biggest common factor number is the GCF number.
So the greatest common factor 61,735,432 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 41/61, 79/735, 683/432

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 41/61, 79/735, 683/432?

Answer: LCM of Numerators as per given numbers 41/61, 79/735, 683/432 is

LCM of Numerators i.e. for 41,79,683 is 2212237

GCF of denominators i.e. for 61,735,432 is 1.

Thus, LCM of Fractions is 2212237.Finally, LCM of Fractions for 41/61, 79/735, 683/432 is 2212237.