Least Common Multiple of 323/552, 260/416, 455/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/552, 260/416, 455/471 quickly i.e. 587860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/552, 260/416, 455/471 is 587860.

LCM(323/552, 260/416, 455/471) = 587860

LCM of 323/552, 260/416, 455/471

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 323/552,260/416,455/471

Given numbers are 323/552,260/416,455/471

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 323,260,455

Least Common Multiple of Numerators i.e. LCM of 323,260,455 is 587860.

GCF of Denominators means GCF of 552,416,471 as per the given fractions.

GCF of 552,416,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,260,455

LCM of Fractions 323/552,260/416,455/471 is 587860

5 323, 260, 455
13 323, 52, 91
323, 4, 7

∴ So the LCM of the given numbers is 5 x 13 x 323 x 4 x 7 = 587860

Least Common Multiple of 323,260,455 with GCF Formula

Least Common Multiple of 323,260,455 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 323,260,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,260,455) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(323,260,455) x common factors =1 x 65 = 65

LCM(323,260,455) = ( 323 × 260 × 455 ) / 65

LCM(323,260,455) = 38210900 / 65

LCM(323,260,455) = 587860


Lets's calculate GCF of 552,416,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 587860/1

Therefore the LCM of Fractions 323/552,260/416,455/471 is 587860

Greatest Common Factor of 552,416,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,416,471 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

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

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 552,416,471 . The biggest common factor number is the GCF number.
So the greatest common factor 552,416,471 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 323/552, 260/416, 455/471

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 323/552, 260/416, 455/471?

Answer: LCM of Numerators as per given numbers 323/552, 260/416, 455/471 is

LCM of Numerators i.e. for 323,260,455 is 587860

GCF of denominators i.e. for 552,416,471 is 1.

Thus, LCM of Fractions is 587860.Finally, LCM of Fractions for 323/552, 260/416, 455/471 is 587860.