Least Common Multiple of 255/46, 460/11, 578/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/46, 460/11, 578/87 quickly i.e. 398820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/46, 460/11, 578/87 is 398820.

LCM(255/46, 460/11, 578/87) = 398820

LCM of 255/46, 460/11, 578/87

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 255/46,460/11,578/87

Given numbers are 255/46,460/11,578/87

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 255,460,578

Least Common Multiple of Numerators i.e. LCM of 255,460,578 is 398820.

GCF of Denominators means GCF of 46,11,87 as per the given fractions.

GCF of 46,11,87 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,460,578

LCM of Fractions 255/46,460/11,578/87 is 398820

2 255, 460, 578
5 255, 230, 289
17 51, 46, 289
3, 46, 17

∴ So the LCM of the given numbers is 2 x 5 x 17 x 3 x 46 x 17 = 398820

Least Common Multiple of 255,460,578 with GCF Formula

Least Common Multiple of 255,460,578 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 255,460,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,460,578) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(255,460,578) x common factors =1 x 170 = 170

LCM(255,460,578) = ( 255 × 460 × 578 ) / 170

LCM(255,460,578) = 67799400 / 170

LCM(255,460,578) = 398820


Lets's calculate GCF of 46,11,87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 398820/1

Therefore the LCM of Fractions 255/46,460/11,578/87 is 398820

Greatest Common Factor of 46,11,87 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,11,87 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 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Greatest Common Factor

We found the factors 46,11,87 . The biggest common factor number is the GCF number.
So the greatest common factor 46,11,87 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 255/46, 460/11, 578/87

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 255/46, 460/11, 578/87?

Answer: LCM of Numerators as per given numbers 255/46, 460/11, 578/87 is

LCM of Numerators i.e. for 255,460,578 is 398820

GCF of denominators i.e. for 46,11,87 is 1.

Thus, LCM of Fractions is 398820.Finally, LCM of Fractions for 255/46, 460/11, 578/87 is 398820.