Least Common Multiple of 461/110, 313/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/110, 313/820 quickly i.e. 144293/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/110, 313/820 is 144293/10.

LCM(461/110, 313/820) = 144293/10

LCM of 461/110, 313/820

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 461/110,313/820

Given numbers are 461/110,313/820

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 461,313

Least Common Multiple of Numerators i.e. LCM of 461,313 is 144293.

GCF of Denominators means GCF of 110,820 as per the given fractions.

GCF of 110,820 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,313

LCM of Fractions 461/110,313/820 is 144293/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 144293

Least Common Multiple of 461,313 with GCF Formula

Least Common Multiple of 461,313 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 461,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,313) = 1

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

GCF(461,313) x common factors =1 x 1 = 1

LCM(461,313) = ( 461 × 313 ) / 1

LCM(461,313) = 144293 / 1

LCM(461,313) = 144293


Lets's calculate GCF of 110,820

2 110, 820
5 55, 410
11, 82

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144293/10

Therefore the LCM of Fractions 461/110,313/820 is 144293/10

Greatest Common Factor of 110,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,820 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 110,820 . The biggest common factor number is the GCF number.
So the greatest common factor 110,820 is 10.


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 461/110, 313/820

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 461/110, 313/820?

Answer: LCM of Numerators as per given numbers 461/110, 313/820 is

LCM of Numerators i.e. for 461,313 is 144293

GCF of denominators i.e. for 110,820 is 10.

Thus, LCM of Fractions is 144293/10.Finally, LCM of Fractions for 461/110, 313/820 is 144293/10.