Least Common Multiple of 459/85, 228/84, 585/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/85, 228/84, 585/378 quickly i.e. 2267460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/85, 228/84, 585/378 is 2267460.

LCM(459/85, 228/84, 585/378) = 2267460

LCM of 459/85, 228/84, 585/378

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 459/85,228/84,585/378

Given numbers are 459/85,228/84,585/378

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 459,228,585

Least Common Multiple of Numerators i.e. LCM of 459,228,585 is 2267460.

GCF of Denominators means GCF of 85,84,378 as per the given fractions.

GCF of 85,84,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,228,585

LCM of Fractions 459/85,228/84,585/378 is 2267460

3 459, 228, 585
3 153, 76, 195
51, 76, 65

∴ So the LCM of the given numbers is 3 x 3 x 51 x 76 x 65 = 2267460

Least Common Multiple of 459,228,585 with GCF Formula

Least Common Multiple of 459,228,585 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 459,228,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,228,585) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(459,228,585) x common factors =3 x 9 = 27

LCM(459,228,585) = ( 459 × 228 × 585 ) / 27

LCM(459,228,585) = 61221420 / 27

LCM(459,228,585) = 2267460


Lets's calculate GCF of 85,84,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2267460/1

Therefore the LCM of Fractions 459/85,228/84,585/378 is 2267460

Greatest Common Factor of 85,84,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,84,378 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 85,84,378 . The biggest common factor number is the GCF number.
So the greatest common factor 85,84,378 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 459/85, 228/84, 585/378

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 459/85, 228/84, 585/378?

Answer: LCM of Numerators as per given numbers 459/85, 228/84, 585/378 is

LCM of Numerators i.e. for 459,228,585 is 2267460

GCF of denominators i.e. for 85,84,378 is 1.

Thus, LCM of Fractions is 2267460.Finally, LCM of Fractions for 459/85, 228/84, 585/378 is 2267460.