Least Common Multiple of 4/12, 30/586, 54/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/12, 30/586, 54/206 quickly i.e. 270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/12, 30/586, 54/206 is 270.

LCM(4/12, 30/586, 54/206) = 270

LCM of 4/12, 30/586, 54/206

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 4/12,30/586,54/206

Given numbers are 4/12,30/586,54/206

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 4,30,54

Least Common Multiple of Numerators i.e. LCM of 4,30,54 is 540.

GCF of Denominators means GCF of 12,586,206 as per the given fractions.

GCF of 12,586,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,30,54

LCM of Fractions 4/12,30/586,54/206 is 270

2 4, 30, 54
3 2, 15, 27
2, 5, 9

∴ So the LCM of the given numbers is 2 x 3 x 2 x 5 x 9 = 540

Least Common Multiple of 4,30,54 with GCF Formula

Least Common Multiple of 4,30,54 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 4,30,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,30,54) = 2

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

GCF(4,30,54) x common factors =2 x 6 = 12

LCM(4,30,54) = ( 4 × 30 × 54 ) / 12

LCM(4,30,54) = 6480 / 12

LCM(4,30,54) = 540


Lets's calculate GCF of 12,586,206

2 12, 586, 206
6, 293, 103

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540/2

Therefore the LCM of Fractions 4/12,30/586,54/206 is 270

Greatest Common Factor of 12,586,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,586,206 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 12,586,206 . The biggest common factor number is the GCF number.
So the greatest common factor 12,586,206 is 2.


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 4/12, 30/586, 54/206

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 4/12, 30/586, 54/206?

Answer: LCM of Numerators as per given numbers 4/12, 30/586, 54/206 is

LCM of Numerators i.e. for 4,30,54 is 540

GCF of denominators i.e. for 12,586,206 is 2.

Thus, LCM of Fractions is 270.Finally, LCM of Fractions for 4/12, 30/586, 54/206 is 270.