Least Common Multiple of 68/431, 28/466, 817/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/431, 28/466, 817/597 quickly i.e. 388892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/431, 28/466, 817/597 is 388892.

LCM(68/431, 28/466, 817/597) = 388892

LCM of 68/431, 28/466, 817/597

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 68/431,28/466,817/597

Given numbers are 68/431,28/466,817/597

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 68,28,817

Least Common Multiple of Numerators i.e. LCM of 68,28,817 is 388892.

GCF of Denominators means GCF of 431,466,597 as per the given fractions.

GCF of 431,466,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,28,817

LCM of Fractions 68/431,28/466,817/597 is 388892

2 68, 28, 817
2 34, 14, 817
17, 7, 817

∴ So the LCM of the given numbers is 2 x 2 x 17 x 7 x 817 = 388892

Least Common Multiple of 68,28,817 with GCF Formula

Least Common Multiple of 68,28,817 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 68,28,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,28,817) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,28,817) x common factors =1 x 4 = 4

LCM(68,28,817) = ( 68 × 28 × 817 ) / 4

LCM(68,28,817) = 1555568 / 4

LCM(68,28,817) = 388892


Lets's calculate GCF of 431,466,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388892/1

Therefore the LCM of Fractions 68/431,28/466,817/597 is 388892

Greatest Common Factor of 431,466,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,466,597 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 431,466,597 . The biggest common factor number is the GCF number.
So the greatest common factor 431,466,597 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 68/431, 28/466, 817/597

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 68/431, 28/466, 817/597?

Answer: LCM of Numerators as per given numbers 68/431, 28/466, 817/597 is

LCM of Numerators i.e. for 68,28,817 is 388892

GCF of denominators i.e. for 431,466,597 is 1.

Thus, LCM of Fractions is 388892.Finally, LCM of Fractions for 68/431, 28/466, 817/597 is 388892.