Least Common Multiple of 813/12, 122/23, 945/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/12, 122/23, 945/785 quickly i.e. 31243590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/12, 122/23, 945/785 is 31243590.

LCM(813/12, 122/23, 945/785) = 31243590

LCM of 813/12, 122/23, 945/785

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 813/12,122/23,945/785

Given numbers are 813/12,122/23,945/785

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 813,122,945

Least Common Multiple of Numerators i.e. LCM of 813,122,945 is 31243590.

GCF of Denominators means GCF of 12,23,785 as per the given fractions.

GCF of 12,23,785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,122,945

LCM of Fractions 813/12,122/23,945/785 is 31243590

3 813, 122, 945
271, 122, 315

∴ So the LCM of the given numbers is 3 x 271 x 122 x 315 = 31243590

Least Common Multiple of 813,122,945 with GCF Formula

Least Common Multiple of 813,122,945 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 813,122,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,122,945) = 1

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

GCF(813,122,945) x common factors =1 x 3 = 3

LCM(813,122,945) = ( 813 × 122 × 945 ) / 3

LCM(813,122,945) = 93730770 / 3

LCM(813,122,945) = 31243590


Lets's calculate GCF of 12,23,785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31243590/1

Therefore the LCM of Fractions 813/12,122/23,945/785 is 31243590

Greatest Common Factor of 12,23,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,23,785 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 12,23,785 . The biggest common factor number is the GCF number.
So the greatest common factor 12,23,785 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 813/12, 122/23, 945/785

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 813/12, 122/23, 945/785?

Answer: LCM of Numerators as per given numbers 813/12, 122/23, 945/785 is

LCM of Numerators i.e. for 813,122,945 is 31243590

GCF of denominators i.e. for 12,23,785 is 1.

Thus, LCM of Fractions is 31243590.Finally, LCM of Fractions for 813/12, 122/23, 945/785 is 31243590.