Least Common Multiple of 323/490, 4681/5810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/490, 4681/5810 quickly i.e. 1511963/70 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/490, 4681/5810 is 1511963/70.

LCM(323/490, 4681/5810) = 1511963/70

LCM of 323/490, 4681/5810

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 323/490,4681/5810

Given numbers are 323/490,4681/5810

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 323,4681

Least Common Multiple of Numerators i.e. LCM of 323,4681 is 1511963.

GCF of Denominators means GCF of 490,5810 as per the given fractions.

GCF of 490,5810 is 70 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,4681

LCM of Fractions 323/490,4681/5810 is 1511963/70

Given numbers has no common factors except 1. So, there LCM is their product i.e 1511963

Least Common Multiple of 323,4681 with GCF Formula

Least Common Multiple of 323,4681 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 323,4681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,4681) = 1

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

GCF(323,4681) x common factors =1 x 1 = 1

LCM(323,4681) = ( 323 × 4681 ) / 1

LCM(323,4681) = 1511963 / 1

LCM(323,4681) = 1511963


Lets's calculate GCF of 490,5810

2 490, 5810
5 245, 2905
7 49, 581
7, 83

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1511963/70

Therefore the LCM of Fractions 323/490,4681/5810 is 1511963/70

Greatest Common Factor of 490,5810 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,5810 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 5810

List of positive integer factors of 5810 that divides 5810 without a remainder.

1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810

Greatest Common Factor

We found the factors 490,5810 . The biggest common factor number is the GCF number.
So the greatest common factor 490,5810 is 70.


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 323/490, 4681/5810

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 323/490, 4681/5810?

Answer: LCM of Numerators as per given numbers 323/490, 4681/5810 is

LCM of Numerators i.e. for 323,4681 is 1511963

GCF of denominators i.e. for 490,5810 is 70.

Thus, LCM of Fractions is 1511963/70.Finally, LCM of Fractions for 323/490, 4681/5810 is 1511963/70.