Least Common Multiple of 347/28, 423/8417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 347/28, 423/8417 quickly i.e. 146781 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 347/28, 423/8417 is 146781.

LCM(347/28, 423/8417) = 146781

LCM of 347/28, 423/8417

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 347/28,423/8417

Given numbers are 347/28,423/8417

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 347,423

Least Common Multiple of Numerators i.e. LCM of 347,423 is 146781.

GCF of Denominators means GCF of 28,8417 as per the given fractions.

GCF of 28,8417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 347,423

LCM of Fractions 347/28,423/8417 is 146781

Given numbers has no common factors except 1. So, there LCM is their product i.e 146781

Least Common Multiple of 347,423 with GCF Formula

Least Common Multiple of 347,423 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 347,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,423) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(347,423) x common factors =1 x 1 = 1

LCM(347,423) = ( 347 × 423 ) / 1

LCM(347,423) = 146781 / 1

LCM(347,423) = 146781


Lets's calculate GCF of 28,8417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146781/1

Therefore the LCM of Fractions 347/28,423/8417 is 146781

Greatest Common Factor of 28,8417 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,8417 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1,19,443,8417

Greatest Common Factor

We found the factors 28,8417 . The biggest common factor number is the GCF number.
So the greatest common factor 28,8417 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 347/28, 423/8417

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 347/28, 423/8417?

Answer: LCM of Numerators as per given numbers 347/28, 423/8417 is

LCM of Numerators i.e. for 347,423 is 146781

GCF of denominators i.e. for 28,8417 is 1.

Thus, LCM of Fractions is 146781.Finally, LCM of Fractions for 347/28, 423/8417 is 146781.