Least Common Multiple of 8909/56, 8950/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8909/56, 8950/382 quickly i.e. 39867775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8909/56, 8950/382 is 39867775.

LCM(8909/56, 8950/382) = 39867775

LCM of 8909/56, 8950/382

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 8909/56,8950/382

Given numbers are 8909/56,8950/382

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 8909,8950

Least Common Multiple of Numerators i.e. LCM of 8909,8950 is 79735550.

GCF of Denominators means GCF of 56,382 as per the given fractions.

GCF of 56,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8909,8950

LCM of Fractions 8909/56,8950/382 is 39867775

Given numbers has no common factors except 1. So, there LCM is their product i.e 79735550

Least Common Multiple of 8909,8950 with GCF Formula

Least Common Multiple of 8909,8950 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 8909,8950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8909,8950) = 1

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

GCF(8909,8950) x common factors =1 x 1 = 1

LCM(8909,8950) = ( 8909 × 8950 ) / 1

LCM(8909,8950) = 79735550 / 1

LCM(8909,8950) = 79735550


Lets's calculate GCF of 56,382

2 56, 382
28, 191

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79735550/2

Therefore the LCM of Fractions 8909/56,8950/382 is 39867775

Greatest Common Factor of 56,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,382 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 56,382 . The biggest common factor number is the GCF number.
So the greatest common factor 56,382 is 2.


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 8909/56, 8950/382

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 8909/56, 8950/382?

Answer: LCM of Numerators as per given numbers 8909/56, 8950/382 is

LCM of Numerators i.e. for 8909,8950 is 79735550

GCF of denominators i.e. for 56,382 is 2.

Thus, LCM of Fractions is 39867775.Finally, LCM of Fractions for 8909/56, 8950/382 is 39867775.