Least Common Multiple of 54/903, 63/804, 121/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/903, 63/804, 121/648 quickly i.e. 15246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/903, 63/804, 121/648 is 15246.

LCM(54/903, 63/804, 121/648) = 15246

LCM of 54/903, 63/804, 121/648

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 54/903,63/804,121/648

Given numbers are 54/903,63/804,121/648

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 54,63,121

Least Common Multiple of Numerators i.e. LCM of 54,63,121 is 45738.

GCF of Denominators means GCF of 903,804,648 as per the given fractions.

GCF of 903,804,648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,63,121

LCM of Fractions 54/903,63/804,121/648 is 15246

3 54, 63, 121
3 18, 21, 121
6, 7, 121

∴ So the LCM of the given numbers is 3 x 3 x 6 x 7 x 121 = 45738

Least Common Multiple of 54,63,121 with GCF Formula

Least Common Multiple of 54,63,121 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 54,63,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,63,121) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(54,63,121) x common factors =1 x 9 = 9

LCM(54,63,121) = ( 54 × 63 × 121 ) / 9

LCM(54,63,121) = 411642 / 9

LCM(54,63,121) = 45738


Lets's calculate GCF of 903,804,648

3 903, 804, 648
301, 268, 216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45738/3

Therefore the LCM of Fractions 54/903,63/804,121/648 is 15246

Greatest Common Factor of 903,804,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,804,648 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 903,804,648 . The biggest common factor number is the GCF number.
So the greatest common factor 903,804,648 is 3.


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 54/903, 63/804, 121/648

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 54/903, 63/804, 121/648?

Answer: LCM of Numerators as per given numbers 54/903, 63/804, 121/648 is

LCM of Numerators i.e. for 54,63,121 is 45738

GCF of denominators i.e. for 903,804,648 is 3.

Thus, LCM of Fractions is 15246.Finally, LCM of Fractions for 54/903, 63/804, 121/648 is 15246.