Least Common Multiple of 909/694, 576/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 909/694, 576/656 quickly i.e. 29088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 909/694, 576/656 is 29088.

LCM(909/694, 576/656) = 29088

LCM of 909/694, 576/656

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 909/694,576/656

Given numbers are 909/694,576/656

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 909,576

Least Common Multiple of Numerators i.e. LCM of 909,576 is 58176.

GCF of Denominators means GCF of 694,656 as per the given fractions.

GCF of 694,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 909,576

LCM of Fractions 909/694,576/656 is 29088

3 909, 576
3 303, 192
101, 64

∴ So the LCM of the given numbers is 3 x 3 x 101 x 64 = 58176

Least Common Multiple of 909,576 with GCF Formula

Least Common Multiple of 909,576 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 909,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,576) = 9

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

GCF(909,576) x common factors =9 x 1 = 9

LCM(909,576) = ( 909 × 576 ) / 9

LCM(909,576) = 523584 / 9

LCM(909,576) = 58176


Lets's calculate GCF of 694,656

2 694, 656
347, 328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58176/2

Therefore the LCM of Fractions 909/694,576/656 is 29088

Greatest Common Factor of 694,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,656 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 694,656 . The biggest common factor number is the GCF number.
So the greatest common factor 694,656 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 909/694, 576/656

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 909/694, 576/656?

Answer: LCM of Numerators as per given numbers 909/694, 576/656 is

LCM of Numerators i.e. for 909,576 is 58176

GCF of denominators i.e. for 694,656 is 2.

Thus, LCM of Fractions is 29088.Finally, LCM of Fractions for 909/694, 576/656 is 29088.