Least Common Multiple of 913/303, 403/348, 351/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 913/303, 403/348, 351/514 quickly i.e. 9934353 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 913/303, 403/348, 351/514 is 9934353.

LCM(913/303, 403/348, 351/514) = 9934353

LCM of 913/303, 403/348, 351/514

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 913/303,403/348,351/514

Given numbers are 913/303,403/348,351/514

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 913,403,351

Least Common Multiple of Numerators i.e. LCM of 913,403,351 is 9934353.

GCF of Denominators means GCF of 303,348,514 as per the given fractions.

GCF of 303,348,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 913,403,351

LCM of Fractions 913/303,403/348,351/514 is 9934353

13 913, 403, 351
913, 31, 27

∴ So the LCM of the given numbers is 13 x 913 x 31 x 27 = 9934353

Least Common Multiple of 913,403,351 with GCF Formula

Least Common Multiple of 913,403,351 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 913,403,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,403,351) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(913,403,351) x common factors =1 x 13 = 13

LCM(913,403,351) = ( 913 × 403 × 351 ) / 13

LCM(913,403,351) = 129146589 / 13

LCM(913,403,351) = 9934353


Lets's calculate GCF of 303,348,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9934353/1

Therefore the LCM of Fractions 913/303,403/348,351/514 is 9934353

Greatest Common Factor of 303,348,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,348,514 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 303,348,514 . The biggest common factor number is the GCF number.
So the greatest common factor 303,348,514 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 913/303, 403/348, 351/514

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 913/303, 403/348, 351/514?

Answer: LCM of Numerators as per given numbers 913/303, 403/348, 351/514 is

LCM of Numerators i.e. for 913,403,351 is 9934353

GCF of denominators i.e. for 303,348,514 is 1.

Thus, LCM of Fractions is 9934353.Finally, LCM of Fractions for 913/303, 403/348, 351/514 is 9934353.