Least Common Multiple of 44/461, 21/363, 401/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/461, 21/363, 401/730 quickly i.e. 370524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/461, 21/363, 401/730 is 370524.

LCM(44/461, 21/363, 401/730) = 370524

LCM of 44/461, 21/363, 401/730

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 44/461,21/363,401/730

Given numbers are 44/461,21/363,401/730

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 44,21,401

Least Common Multiple of Numerators i.e. LCM of 44,21,401 is 370524.

GCF of Denominators means GCF of 461,363,730 as per the given fractions.

GCF of 461,363,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,21,401

LCM of Fractions 44/461,21/363,401/730 is 370524

Given numbers has no common factors except 1. So, there LCM is their product i.e 370524

Least Common Multiple of 44,21,401 with GCF Formula

Least Common Multiple of 44,21,401 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 44,21,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,21,401) = 1

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

GCF(44,21,401) x common factors =1 x 1 = 1

LCM(44,21,401) = ( 44 × 21 × 401 ) / 1

LCM(44,21,401) = 370524 / 1

LCM(44,21,401) = 370524


Lets's calculate GCF of 461,363,730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 370524/1

Therefore the LCM of Fractions 44/461,21/363,401/730 is 370524

Greatest Common Factor of 461,363,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,363,730 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 461,363,730 . The biggest common factor number is the GCF number.
So the greatest common factor 461,363,730 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 44/461, 21/363, 401/730

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 44/461, 21/363, 401/730?

Answer: LCM of Numerators as per given numbers 44/461, 21/363, 401/730 is

LCM of Numerators i.e. for 44,21,401 is 370524

GCF of denominators i.e. for 461,363,730 is 1.

Thus, LCM of Fractions is 370524.Finally, LCM of Fractions for 44/461, 21/363, 401/730 is 370524.