Least Common Multiple of 34/820, 6764/8686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/820, 6764/8686 quickly i.e. 57494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/820, 6764/8686 is 57494.

LCM(34/820, 6764/8686) = 57494

LCM of 34/820, 6764/8686

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 34/820,6764/8686

Given numbers are 34/820,6764/8686

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 34,6764

Least Common Multiple of Numerators i.e. LCM of 34,6764 is 114988.

GCF of Denominators means GCF of 820,8686 as per the given fractions.

GCF of 820,8686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,6764

LCM of Fractions 34/820,6764/8686 is 57494

2 34, 6764
17, 3382

∴ So the LCM of the given numbers is 2 x 17 x 3382 = 114988

Least Common Multiple of 34,6764 with GCF Formula

Least Common Multiple of 34,6764 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 34,6764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,6764) = 2

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

GCF(34,6764) x common factors =2 x 1 = 2

LCM(34,6764) = ( 34 × 6764 ) / 2

LCM(34,6764) = 229976 / 2

LCM(34,6764) = 114988


Lets's calculate GCF of 820,8686

2 820, 8686
410, 4343

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114988/2

Therefore the LCM of Fractions 34/820,6764/8686 is 57494

Greatest Common Factor of 820,8686 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,8686 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 8686

List of positive integer factors of 8686 that divides 8686 without a remainder.

1,2,43,86,101,202,4343,8686

Greatest Common Factor

We found the factors 820,8686 . The biggest common factor number is the GCF number.
So the greatest common factor 820,8686 is 2.


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 34/820, 6764/8686

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 34/820, 6764/8686?

Answer: LCM of Numerators as per given numbers 34/820, 6764/8686 is

LCM of Numerators i.e. for 34,6764 is 114988

GCF of denominators i.e. for 820,8686 is 2.

Thus, LCM of Fractions is 57494.Finally, LCM of Fractions for 34/820, 6764/8686 is 57494.