Least Common Multiple of 360/27, 858/90, 599/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/27, 858/90, 599/214 quickly i.e. 30836520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/27, 858/90, 599/214 is 30836520.

LCM(360/27, 858/90, 599/214) = 30836520

LCM of 360/27, 858/90, 599/214

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 360/27,858/90,599/214

Given numbers are 360/27,858/90,599/214

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 360,858,599

Least Common Multiple of Numerators i.e. LCM of 360,858,599 is 30836520.

GCF of Denominators means GCF of 27,90,214 as per the given fractions.

GCF of 27,90,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,858,599

LCM of Fractions 360/27,858/90,599/214 is 30836520

2 360, 858, 599
3 180, 429, 599
60, 143, 599

∴ So the LCM of the given numbers is 2 x 3 x 60 x 143 x 599 = 30836520

Least Common Multiple of 360,858,599 with GCF Formula

Least Common Multiple of 360,858,599 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 360,858,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,858,599) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(360,858,599) x common factors =1 x 6 = 6

LCM(360,858,599) = ( 360 × 858 × 599 ) / 6

LCM(360,858,599) = 185019120 / 6

LCM(360,858,599) = 30836520


Lets's calculate GCF of 27,90,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30836520/1

Therefore the LCM of Fractions 360/27,858/90,599/214 is 30836520

Greatest Common Factor of 27,90,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,90,214 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 27,90,214 . The biggest common factor number is the GCF number.
So the greatest common factor 27,90,214 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 360/27, 858/90, 599/214

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 360/27, 858/90, 599/214?

Answer: LCM of Numerators as per given numbers 360/27, 858/90, 599/214 is

LCM of Numerators i.e. for 360,858,599 is 30836520

GCF of denominators i.e. for 27,90,214 is 1.

Thus, LCM of Fractions is 30836520.Finally, LCM of Fractions for 360/27, 858/90, 599/214 is 30836520.