Least Common Multiple of 723/873, 9259/4935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/873, 9259/4935 quickly i.e. 2231419 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/873, 9259/4935 is 2231419.

LCM(723/873, 9259/4935) = 2231419

LCM of 723/873, 9259/4935

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 723/873,9259/4935

Given numbers are 723/873,9259/4935

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 723,9259

Least Common Multiple of Numerators i.e. LCM of 723,9259 is 6694257.

GCF of Denominators means GCF of 873,4935 as per the given fractions.

GCF of 873,4935 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,9259

LCM of Fractions 723/873,9259/4935 is 2231419

Given numbers has no common factors except 1. So, there LCM is their product i.e 6694257

Least Common Multiple of 723,9259 with GCF Formula

Least Common Multiple of 723,9259 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 723,9259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,9259) = 1

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

GCF(723,9259) x common factors =1 x 1 = 1

LCM(723,9259) = ( 723 × 9259 ) / 1

LCM(723,9259) = 6694257 / 1

LCM(723,9259) = 6694257


Lets's calculate GCF of 873,4935

3 873, 4935
291, 1645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6694257/3

Therefore the LCM of Fractions 723/873,9259/4935 is 2231419

Greatest Common Factor of 873,4935 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,4935 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935

Greatest Common Factor

We found the factors 873,4935 . The biggest common factor number is the GCF number.
So the greatest common factor 873,4935 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 723/873, 9259/4935

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 723/873, 9259/4935?

Answer: LCM of Numerators as per given numbers 723/873, 9259/4935 is

LCM of Numerators i.e. for 723,9259 is 6694257

GCF of denominators i.e. for 873,4935 is 3.

Thus, LCM of Fractions is 2231419.Finally, LCM of Fractions for 723/873, 9259/4935 is 2231419.