Least Common Multiple of 441/184, 465/533, 104/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 441/184, 465/533, 104/364 quickly i.e. 7108920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 441/184, 465/533, 104/364 is 7108920.

LCM(441/184, 465/533, 104/364) = 7108920

LCM of 441/184, 465/533, 104/364

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 441/184,465/533,104/364

Given numbers are 441/184,465/533,104/364

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 441,465,104

Least Common Multiple of Numerators i.e. LCM of 441,465,104 is 7108920.

GCF of Denominators means GCF of 184,533,364 as per the given fractions.

GCF of 184,533,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 441,465,104

LCM of Fractions 441/184,465/533,104/364 is 7108920

3 441, 465, 104
147, 155, 104

∴ So the LCM of the given numbers is 3 x 147 x 155 x 104 = 7108920

Least Common Multiple of 441,465,104 with GCF Formula

Least Common Multiple of 441,465,104 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 441,465,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,465,104) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(441,465,104) x common factors =1 x 3 = 3

LCM(441,465,104) = ( 441 × 465 × 104 ) / 3

LCM(441,465,104) = 21326760 / 3

LCM(441,465,104) = 7108920


Lets's calculate GCF of 184,533,364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7108920/1

Therefore the LCM of Fractions 441/184,465/533,104/364 is 7108920

Greatest Common Factor of 184,533,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,533,364 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 184,533,364 . The biggest common factor number is the GCF number.
So the greatest common factor 184,533,364 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 441/184, 465/533, 104/364

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 441/184, 465/533, 104/364?

Answer: LCM of Numerators as per given numbers 441/184, 465/533, 104/364 is

LCM of Numerators i.e. for 441,465,104 is 7108920

GCF of denominators i.e. for 184,533,364 is 1.

Thus, LCM of Fractions is 7108920.Finally, LCM of Fractions for 441/184, 465/533, 104/364 is 7108920.