Least Common Multiple of 531/54, 830/42, 845/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/54, 830/42, 845/186 quickly i.e. 12413895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/54, 830/42, 845/186 is 12413895.

LCM(531/54, 830/42, 845/186) = 12413895

LCM of 531/54, 830/42, 845/186

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 531/54,830/42,845/186

Given numbers are 531/54,830/42,845/186

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 531,830,845

Least Common Multiple of Numerators i.e. LCM of 531,830,845 is 74483370.

GCF of Denominators means GCF of 54,42,186 as per the given fractions.

GCF of 54,42,186 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,830,845

LCM of Fractions 531/54,830/42,845/186 is 12413895

5 531, 830, 845
531, 166, 169

∴ So the LCM of the given numbers is 5 x 531 x 166 x 169 = 74483370

Least Common Multiple of 531,830,845 with GCF Formula

Least Common Multiple of 531,830,845 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 531,830,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,830,845) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(531,830,845) x common factors =1 x 5 = 5

LCM(531,830,845) = ( 531 × 830 × 845 ) / 5

LCM(531,830,845) = 372416850 / 5

LCM(531,830,845) = 74483370


Lets's calculate GCF of 54,42,186

2 54, 42, 186
3 27, 21, 93
9, 7, 31

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74483370/6

Therefore the LCM of Fractions 531/54,830/42,845/186 is 12413895

Greatest Common Factor of 54,42,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,42,186 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 54,42,186 . The biggest common factor number is the GCF number.
So the greatest common factor 54,42,186 is 6.


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 531/54, 830/42, 845/186

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 531/54, 830/42, 845/186?

Answer: LCM of Numerators as per given numbers 531/54, 830/42, 845/186 is

LCM of Numerators i.e. for 531,830,845 is 74483370

GCF of denominators i.e. for 54,42,186 is 6.

Thus, LCM of Fractions is 12413895.Finally, LCM of Fractions for 531/54, 830/42, 845/186 is 12413895.