Least Common Multiple of 683/86, 968/33, 519/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/86, 968/33, 519/49 quickly i.e. 343133736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/86, 968/33, 519/49 is 343133736.

LCM(683/86, 968/33, 519/49) = 343133736

LCM of 683/86, 968/33, 519/49

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 683/86,968/33,519/49

Given numbers are 683/86,968/33,519/49

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 683,968,519

Least Common Multiple of Numerators i.e. LCM of 683,968,519 is 343133736.

GCF of Denominators means GCF of 86,33,49 as per the given fractions.

GCF of 86,33,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,968,519

LCM of Fractions 683/86,968/33,519/49 is 343133736

Given numbers has no common factors except 1. So, there LCM is their product i.e 343133736

Least Common Multiple of 683,968,519 with GCF Formula

Least Common Multiple of 683,968,519 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 683,968,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,968,519) = 1

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

GCF(683,968,519) x common factors =1 x 1 = 1

LCM(683,968,519) = ( 683 × 968 × 519 ) / 1

LCM(683,968,519) = 343133736 / 1

LCM(683,968,519) = 343133736


Lets's calculate GCF of 86,33,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343133736/1

Therefore the LCM of Fractions 683/86,968/33,519/49 is 343133736

Greatest Common Factor of 86,33,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,33,49 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 86,33,49 . The biggest common factor number is the GCF number.
So the greatest common factor 86,33,49 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 683/86, 968/33, 519/49

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 683/86, 968/33, 519/49?

Answer: LCM of Numerators as per given numbers 683/86, 968/33, 519/49 is

LCM of Numerators i.e. for 683,968,519 is 343133736

GCF of denominators i.e. for 86,33,49 is 1.

Thus, LCM of Fractions is 343133736.Finally, LCM of Fractions for 683/86, 968/33, 519/49 is 343133736.