Least Common Multiple of 587/46, 404/4672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/46, 404/4672 quickly i.e. 118574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/46, 404/4672 is 118574.

LCM(587/46, 404/4672) = 118574

LCM of 587/46, 404/4672

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 587/46,404/4672

Given numbers are 587/46,404/4672

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 587,404

Least Common Multiple of Numerators i.e. LCM of 587,404 is 237148.

GCF of Denominators means GCF of 46,4672 as per the given fractions.

GCF of 46,4672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,404

LCM of Fractions 587/46,404/4672 is 118574

Given numbers has no common factors except 1. So, there LCM is their product i.e 237148

Least Common Multiple of 587,404 with GCF Formula

Least Common Multiple of 587,404 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 587,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,404) = 1

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

GCF(587,404) x common factors =1 x 1 = 1

LCM(587,404) = ( 587 × 404 ) / 1

LCM(587,404) = 237148 / 1

LCM(587,404) = 237148


Lets's calculate GCF of 46,4672

2 46, 4672
23, 2336

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237148/2

Therefore the LCM of Fractions 587/46,404/4672 is 118574

Greatest Common Factor of 46,4672 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,4672 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 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672

Greatest Common Factor

We found the factors 46,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 46,4672 is 2.


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 587/46, 404/4672

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 587/46, 404/4672?

Answer: LCM of Numerators as per given numbers 587/46, 404/4672 is

LCM of Numerators i.e. for 587,404 is 237148

GCF of denominators i.e. for 46,4672 is 2.

Thus, LCM of Fractions is 118574.Finally, LCM of Fractions for 587/46, 404/4672 is 118574.