Least Common Multiple of 466/46, 821/1104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/46, 821/1104 quickly i.e. 382586/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/46, 821/1104 is 382586/46.

LCM(466/46, 821/1104) = 382586/46

LCM of 466/46, 821/1104

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 466/46,821/1104

Given numbers are 466/46,821/1104

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 466,821

Least Common Multiple of Numerators i.e. LCM of 466,821 is 382586.

GCF of Denominators means GCF of 46,1104 as per the given fractions.

GCF of 46,1104 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,821

LCM of Fractions 466/46,821/1104 is 382586/46

Given numbers has no common factors except 1. So, there LCM is their product i.e 382586

Least Common Multiple of 466,821 with GCF Formula

Least Common Multiple of 466,821 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 466,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,821) = 1

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

GCF(466,821) x common factors =1 x 1 = 1

LCM(466,821) = ( 466 × 821 ) / 1

LCM(466,821) = 382586 / 1

LCM(466,821) = 382586


Lets's calculate GCF of 46,1104

2 46, 1104
23 23, 552
1, 24

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382586/46

Therefore the LCM of Fractions 466/46,821/1104 is 382586/46

Greatest Common Factor of 46,1104 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,1104 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 1104

List of positive integer factors of 1104 that divides 1104 without a remainder.

1,2,3,4,6,8,12,16,23,24,46,48,69,92,138,184,276,368,552,1104

Greatest Common Factor

We found the factors 46,1104 . The biggest common factor number is the GCF number.
So the greatest common factor 46,1104 is 46.


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 466/46, 821/1104

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 466/46, 821/1104?

Answer: LCM of Numerators as per given numbers 466/46, 821/1104 is

LCM of Numerators i.e. for 466,821 is 382586

GCF of denominators i.e. for 46,1104 is 46.

Thus, LCM of Fractions is 382586/46.Finally, LCM of Fractions for 466/46, 821/1104 is 382586/46.