Least Common Multiple of 973/99, 740/33, 504/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/99, 740/33, 504/27 quickly i.e. 4320120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/99, 740/33, 504/27 is 4320120.

LCM(973/99, 740/33, 504/27) = 4320120

LCM of 973/99, 740/33, 504/27

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 973/99,740/33,504/27

Given numbers are 973/99,740/33,504/27

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 973,740,504

Least Common Multiple of Numerators i.e. LCM of 973,740,504 is 12960360.

GCF of Denominators means GCF of 99,33,27 as per the given fractions.

GCF of 99,33,27 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,740,504

LCM of Fractions 973/99,740/33,504/27 is 4320120

2 973, 740, 504
2 973, 370, 252
7 973, 185, 126
139, 185, 18

∴ So the LCM of the given numbers is 2 x 2 x 7 x 139 x 185 x 18 = 12960360

Least Common Multiple of 973,740,504 with GCF Formula

Least Common Multiple of 973,740,504 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 973,740,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,740,504) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(973,740,504) x common factors =1 x 28 = 28

LCM(973,740,504) = ( 973 × 740 × 504 ) / 28

LCM(973,740,504) = 362890080 / 28

LCM(973,740,504) = 12960360


Lets's calculate GCF of 99,33,27

3 99, 33, 27
33, 11, 9

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12960360/3

Therefore the LCM of Fractions 973/99,740/33,504/27 is 4320120

Greatest Common Factor of 99,33,27 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,33,27 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 27

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

1,3,9,27

Greatest Common Factor

We found the factors 99,33,27 . The biggest common factor number is the GCF number.
So the greatest common factor 99,33,27 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 973/99, 740/33, 504/27

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 973/99, 740/33, 504/27?

Answer: LCM of Numerators as per given numbers 973/99, 740/33, 504/27 is

LCM of Numerators i.e. for 973,740,504 is 12960360

GCF of denominators i.e. for 99,33,27 is 3.

Thus, LCM of Fractions is 4320120.Finally, LCM of Fractions for 973/99, 740/33, 504/27 is 4320120.