Least Common Multiple of 873/216, 4501/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/216, 4501/504 quickly i.e. 3929373/72 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/216, 4501/504 is 3929373/72.

LCM(873/216, 4501/504) = 3929373/72

LCM of 873/216, 4501/504

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 873/216,4501/504

Given numbers are 873/216,4501/504

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 873,4501

Least Common Multiple of Numerators i.e. LCM of 873,4501 is 3929373.

GCF of Denominators means GCF of 216,504 as per the given fractions.

GCF of 216,504 is 72 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,4501

LCM of Fractions 873/216,4501/504 is 3929373/72

Given numbers has no common factors except 1. So, there LCM is their product i.e 3929373

Least Common Multiple of 873,4501 with GCF Formula

Least Common Multiple of 873,4501 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 873,4501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,4501) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(873,4501) x common factors =1 x 1 = 1

LCM(873,4501) = ( 873 × 4501 ) / 1

LCM(873,4501) = 3929373 / 1

LCM(873,4501) = 3929373


Lets's calculate GCF of 216,504

2 216, 504
2 108, 252
2 54, 126
3 27, 63
3 9, 21
3, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3929373/72

Therefore the LCM of Fractions 873/216,4501/504 is 3929373/72

Greatest Common Factor of 216,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,504 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

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

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 216,504 . The biggest common factor number is the GCF number.
So the greatest common factor 216,504 is 72.


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 873/216, 4501/504

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 873/216, 4501/504?

Answer: LCM of Numerators as per given numbers 873/216, 4501/504 is

LCM of Numerators i.e. for 873,4501 is 3929373

GCF of denominators i.e. for 216,504 is 72.

Thus, LCM of Fractions is 3929373/72.Finally, LCM of Fractions for 873/216, 4501/504 is 3929373/72.