Least Common Multiple of 613/34, 812/6834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 613/34, 812/6834 quickly i.e. 497756/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/34, 812/6834 is 497756/34.

LCM(613/34, 812/6834) = 497756/34

LCM of 613/34, 812/6834

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 613/34,812/6834

Given numbers are 613/34,812/6834

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 613,812

Least Common Multiple of Numerators i.e. LCM of 613,812 is 497756.

GCF of Denominators means GCF of 34,6834 as per the given fractions.

GCF of 34,6834 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,812

LCM of Fractions 613/34,812/6834 is 497756/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 497756

Least Common Multiple of 613,812 with GCF Formula

Least Common Multiple of 613,812 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 613,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,812) = 1

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

GCF(613,812) x common factors =1 x 1 = 1

LCM(613,812) = ( 613 × 812 ) / 1

LCM(613,812) = 497756 / 1

LCM(613,812) = 497756


Lets's calculate GCF of 34,6834

2 34, 6834
17 17, 3417
1, 201

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 497756/34

Therefore the LCM of Fractions 613/34,812/6834 is 497756/34

Greatest Common Factor of 34,6834 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,6834 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 6834

List of positive integer factors of 6834 that divides 6834 without a remainder.

1,2,3,6,17,34,51,67,102,134,201,402,1139,2278,3417,6834

Greatest Common Factor

We found the factors 34,6834 . The biggest common factor number is the GCF number.
So the greatest common factor 34,6834 is 34.


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 613/34, 812/6834

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 613/34, 812/6834?

Answer: LCM of Numerators as per given numbers 613/34, 812/6834 is

LCM of Numerators i.e. for 613,812 is 497756

GCF of denominators i.e. for 34,6834 is 34.

Thus, LCM of Fractions is 497756/34.Finally, LCM of Fractions for 613/34, 812/6834 is 497756/34.