Least Common Multiple of 817/797, 947/686, 361/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/797, 947/686, 361/145 quickly i.e. 14700281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/797, 947/686, 361/145 is 14700281.

LCM(817/797, 947/686, 361/145) = 14700281

LCM of 817/797, 947/686, 361/145

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 817/797,947/686,361/145

Given numbers are 817/797,947/686,361/145

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 817,947,361

Least Common Multiple of Numerators i.e. LCM of 817,947,361 is 14700281.

GCF of Denominators means GCF of 797,686,145 as per the given fractions.

GCF of 797,686,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,947,361

LCM of Fractions 817/797,947/686,361/145 is 14700281

19 817, 947, 361
43, 947, 19

∴ So the LCM of the given numbers is 19 x 43 x 947 x 19 = 14700281

Least Common Multiple of 817,947,361 with GCF Formula

Least Common Multiple of 817,947,361 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 817,947,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,947,361) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(817,947,361) x common factors =1 x 19 = 19

LCM(817,947,361) = ( 817 × 947 × 361 ) / 19

LCM(817,947,361) = 279305339 / 19

LCM(817,947,361) = 14700281


Lets's calculate GCF of 797,686,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14700281/1

Therefore the LCM of Fractions 817/797,947/686,361/145 is 14700281

Greatest Common Factor of 797,686,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,686,145 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 797,686,145 . The biggest common factor number is the GCF number.
So the greatest common factor 797,686,145 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 817/797, 947/686, 361/145

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 817/797, 947/686, 361/145?

Answer: LCM of Numerators as per given numbers 817/797, 947/686, 361/145 is

LCM of Numerators i.e. for 817,947,361 is 14700281

GCF of denominators i.e. for 797,686,145 is 1.

Thus, LCM of Fractions is 14700281.Finally, LCM of Fractions for 817/797, 947/686, 361/145 is 14700281.