Least Common Multiple of 506/686, 736/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/686, 736/367 quickly i.e. 8096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/686, 736/367 is 8096.

LCM(506/686, 736/367) = 8096

LCM of 506/686, 736/367

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 506/686,736/367

Given numbers are 506/686,736/367

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 506,736

Least Common Multiple of Numerators i.e. LCM of 506,736 is 8096.

GCF of Denominators means GCF of 686,367 as per the given fractions.

GCF of 686,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,736

LCM of Fractions 506/686,736/367 is 8096

2 506, 736
23 253, 368
11, 16

∴ So the LCM of the given numbers is 2 x 23 x 11 x 16 = 8096

Least Common Multiple of 506,736 with GCF Formula

Least Common Multiple of 506,736 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 506,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,736) = 46

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

GCF(506,736) x common factors =46 x 1 = 46

LCM(506,736) = ( 506 × 736 ) / 46

LCM(506,736) = 372416 / 46

LCM(506,736) = 8096


Lets's calculate GCF of 686,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8096/1

Therefore the LCM of Fractions 506/686,736/367 is 8096

Greatest Common Factor of 686,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,367 By Matching Biggest Common Factor Method

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 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 686,367 . The biggest common factor number is the GCF number.
So the greatest common factor 686,367 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 506/686, 736/367

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 506/686, 736/367?

Answer: LCM of Numerators as per given numbers 506/686, 736/367 is

LCM of Numerators i.e. for 506,736 is 8096

GCF of denominators i.e. for 686,367 is 1.

Thus, LCM of Fractions is 8096.Finally, LCM of Fractions for 506/686, 736/367 is 8096.