Least Common Multiple of 873/36, 313/91, 785/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/36, 313/91, 785/444 quickly i.e. 214500465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/36, 313/91, 785/444 is 214500465.

LCM(873/36, 313/91, 785/444) = 214500465

LCM of 873/36, 313/91, 785/444

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 873/36,313/91,785/444

Given numbers are 873/36,313/91,785/444

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 873,313,785

Least Common Multiple of Numerators i.e. LCM of 873,313,785 is 214500465.

GCF of Denominators means GCF of 36,91,444 as per the given fractions.

GCF of 36,91,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,313,785

LCM of Fractions 873/36,313/91,785/444 is 214500465

Given numbers has no common factors except 1. So, there LCM is their product i.e 214500465

Least Common Multiple of 873,313,785 with GCF Formula

Least Common Multiple of 873,313,785 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 873,313,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,313,785) = 1

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

GCF(873,313,785) x common factors =1 x 1 = 1

LCM(873,313,785) = ( 873 × 313 × 785 ) / 1

LCM(873,313,785) = 214500465 / 1

LCM(873,313,785) = 214500465


Lets's calculate GCF of 36,91,444

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214500465/1

Therefore the LCM of Fractions 873/36,313/91,785/444 is 214500465

Greatest Common Factor of 36,91,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,91,444 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 36,91,444 . The biggest common factor number is the GCF number.
So the greatest common factor 36,91,444 is 1.


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 873/36, 313/91, 785/444

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 873/36, 313/91, 785/444?

Answer: LCM of Numerators as per given numbers 873/36, 313/91, 785/444 is

LCM of Numerators i.e. for 873,313,785 is 214500465

GCF of denominators i.e. for 36,91,444 is 1.

Thus, LCM of Fractions is 214500465.Finally, LCM of Fractions for 873/36, 313/91, 785/444 is 214500465.