Least Common Multiple of 41/728, 74/629, 283/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/728, 74/629, 283/531 quickly i.e. 858622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/728, 74/629, 283/531 is 858622.

LCM(41/728, 74/629, 283/531) = 858622

LCM of 41/728, 74/629, 283/531

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 41/728,74/629,283/531

Given numbers are 41/728,74/629,283/531

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 41,74,283

Least Common Multiple of Numerators i.e. LCM of 41,74,283 is 858622.

GCF of Denominators means GCF of 728,629,531 as per the given fractions.

GCF of 728,629,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,74,283

LCM of Fractions 41/728,74/629,283/531 is 858622

Given numbers has no common factors except 1. So, there LCM is their product i.e 858622

Least Common Multiple of 41,74,283 with GCF Formula

Least Common Multiple of 41,74,283 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 41,74,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,74,283) = 1

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

GCF(41,74,283) x common factors =1 x 1 = 1

LCM(41,74,283) = ( 41 × 74 × 283 ) / 1

LCM(41,74,283) = 858622 / 1

LCM(41,74,283) = 858622


Lets's calculate GCF of 728,629,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858622/1

Therefore the LCM of Fractions 41/728,74/629,283/531 is 858622

Greatest Common Factor of 728,629,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,629,531 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 728,629,531 . The biggest common factor number is the GCF number.
So the greatest common factor 728,629,531 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 41/728, 74/629, 283/531

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 41/728, 74/629, 283/531?

Answer: LCM of Numerators as per given numbers 41/728, 74/629, 283/531 is

LCM of Numerators i.e. for 41,74,283 is 858622

GCF of denominators i.e. for 728,629,531 is 1.

Thus, LCM of Fractions is 858622.Finally, LCM of Fractions for 41/728, 74/629, 283/531 is 858622.