Least Common Multiple of 12/90, 968/54, 185/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/90, 968/54, 185/810 quickly i.e. 537240/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/90, 968/54, 185/810 is 537240/18.

LCM(12/90, 968/54, 185/810) = 537240/18

LCM of 12/90, 968/54, 185/810

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 12/90,968/54,185/810

Given numbers are 12/90,968/54,185/810

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 12,968,185

Least Common Multiple of Numerators i.e. LCM of 12,968,185 is 537240.

GCF of Denominators means GCF of 90,54,810 as per the given fractions.

GCF of 90,54,810 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,968,185

LCM of Fractions 12/90,968/54,185/810 is 537240/18

2 12, 968, 185
2 6, 484, 185
3, 242, 185

∴ So the LCM of the given numbers is 2 x 2 x 3 x 242 x 185 = 537240

Least Common Multiple of 12,968,185 with GCF Formula

Least Common Multiple of 12,968,185 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 12,968,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,968,185) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,968,185) x common factors =1 x 4 = 4

LCM(12,968,185) = ( 12 × 968 × 185 ) / 4

LCM(12,968,185) = 2148960 / 4

LCM(12,968,185) = 537240


Lets's calculate GCF of 90,54,810

2 90, 54, 810
3 45, 27, 405
3 15, 9, 135
5, 3, 45

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 537240/18

Therefore the LCM of Fractions 12/90,968/54,185/810 is 537240/18

Greatest Common Factor of 90,54,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,54,810 By Matching Biggest Common Factor Method

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 54

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

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

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 90,54,810 . The biggest common factor number is the GCF number.
So the greatest common factor 90,54,810 is 18.


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 12/90, 968/54, 185/810

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 12/90, 968/54, 185/810?

Answer: LCM of Numerators as per given numbers 12/90, 968/54, 185/810 is

LCM of Numerators i.e. for 12,968,185 is 537240

GCF of denominators i.e. for 90,54,810 is 18.

Thus, LCM of Fractions is 537240/18.Finally, LCM of Fractions for 12/90, 968/54, 185/810 is 537240/18.