Least Common Multiple of 312/220, 399/382, 317/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/220, 399/382, 317/813 quickly i.e. 13154232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/220, 399/382, 317/813 is 13154232.

LCM(312/220, 399/382, 317/813) = 13154232

LCM of 312/220, 399/382, 317/813

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 312/220,399/382,317/813

Given numbers are 312/220,399/382,317/813

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 312,399,317

Least Common Multiple of Numerators i.e. LCM of 312,399,317 is 13154232.

GCF of Denominators means GCF of 220,382,813 as per the given fractions.

GCF of 220,382,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,399,317

LCM of Fractions 312/220,399/382,317/813 is 13154232

3 312, 399, 317
104, 133, 317

∴ So the LCM of the given numbers is 3 x 104 x 133 x 317 = 13154232

Least Common Multiple of 312,399,317 with GCF Formula

Least Common Multiple of 312,399,317 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 312,399,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,399,317) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(312,399,317) x common factors =1 x 3 = 3

LCM(312,399,317) = ( 312 × 399 × 317 ) / 3

LCM(312,399,317) = 39462696 / 3

LCM(312,399,317) = 13154232


Lets's calculate GCF of 220,382,813

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13154232/1

Therefore the LCM of Fractions 312/220,399/382,317/813 is 13154232

Greatest Common Factor of 220,382,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,382,813 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 382

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

1,2,191,382

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 220,382,813 . The biggest common factor number is the GCF number.
So the greatest common factor 220,382,813 is 1.


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 312/220, 399/382, 317/813

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 312/220, 399/382, 317/813?

Answer: LCM of Numerators as per given numbers 312/220, 399/382, 317/813 is

LCM of Numerators i.e. for 312,399,317 is 13154232

GCF of denominators i.e. for 220,382,813 is 1.

Thus, LCM of Fractions is 13154232.Finally, LCM of Fractions for 312/220, 399/382, 317/813 is 13154232.