Least Common Multiple of 931/46, 484/1909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 931/46, 484/1909 quickly i.e. 450604/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/46, 484/1909 is 450604/23.

LCM(931/46, 484/1909) = 450604/23

LCM of 931/46, 484/1909

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 931/46,484/1909

Given numbers are 931/46,484/1909

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 931,484

Least Common Multiple of Numerators i.e. LCM of 931,484 is 450604.

GCF of Denominators means GCF of 46,1909 as per the given fractions.

GCF of 46,1909 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,484

LCM of Fractions 931/46,484/1909 is 450604/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 450604

Least Common Multiple of 931,484 with GCF Formula

Least Common Multiple of 931,484 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 931,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,484) = 1

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

GCF(931,484) x common factors =1 x 1 = 1

LCM(931,484) = ( 931 × 484 ) / 1

LCM(931,484) = 450604 / 1

LCM(931,484) = 450604


Lets's calculate GCF of 46,1909

23 46, 1909
2, 83

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450604/23

Therefore the LCM of Fractions 931/46,484/1909 is 450604/23

Greatest Common Factor of 46,1909 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,1909 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 1909

List of positive integer factors of 1909 that divides 1909 without a remainder.

1,23,83,1909

Greatest Common Factor

We found the factors 46,1909 . The biggest common factor number is the GCF number.
So the greatest common factor 46,1909 is 23.


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 931/46, 484/1909

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 931/46, 484/1909?

Answer: LCM of Numerators as per given numbers 931/46, 484/1909 is

LCM of Numerators i.e. for 931,484 is 450604

GCF of denominators i.e. for 46,1909 is 23.

Thus, LCM of Fractions is 450604/23.Finally, LCM of Fractions for 931/46, 484/1909 is 450604/23.