Least Common Multiple of 279/60, 305/19, 585/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/60, 305/19, 585/51 quickly i.e. 1106235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/60, 305/19, 585/51 is 1106235.

LCM(279/60, 305/19, 585/51) = 1106235

LCM of 279/60, 305/19, 585/51

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 279/60,305/19,585/51

Given numbers are 279/60,305/19,585/51

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 279,305,585

Least Common Multiple of Numerators i.e. LCM of 279,305,585 is 1106235.

GCF of Denominators means GCF of 60,19,51 as per the given fractions.

GCF of 60,19,51 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,305,585

LCM of Fractions 279/60,305/19,585/51 is 1106235

3 279, 305, 585
3 93, 305, 195
5 31, 305, 65
31, 61, 13

∴ So the LCM of the given numbers is 3 x 3 x 5 x 31 x 61 x 13 = 1106235

Least Common Multiple of 279,305,585 with GCF Formula

Least Common Multiple of 279,305,585 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 279,305,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,305,585) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(279,305,585) x common factors =1 x 45 = 45

LCM(279,305,585) = ( 279 × 305 × 585 ) / 45

LCM(279,305,585) = 49780575 / 45

LCM(279,305,585) = 1106235


Lets's calculate GCF of 60,19,51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1106235/1

Therefore the LCM of Fractions 279/60,305/19,585/51 is 1106235

Greatest Common Factor of 60,19,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,19,51 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 60,19,51 . The biggest common factor number is the GCF number.
So the greatest common factor 60,19,51 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 279/60, 305/19, 585/51

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 279/60, 305/19, 585/51?

Answer: LCM of Numerators as per given numbers 279/60, 305/19, 585/51 is

LCM of Numerators i.e. for 279,305,585 is 1106235

GCF of denominators i.e. for 60,19,51 is 1.

Thus, LCM of Fractions is 1106235.Finally, LCM of Fractions for 279/60, 305/19, 585/51 is 1106235.