Least Common Multiple of 6820/290, 8576/8534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6820/290, 8576/8534 quickly i.e. 7311040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6820/290, 8576/8534 is 7311040.

LCM(6820/290, 8576/8534) = 7311040

LCM of 6820/290, 8576/8534

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 6820/290,8576/8534

Given numbers are 6820/290,8576/8534

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 6820,8576

Least Common Multiple of Numerators i.e. LCM of 6820,8576 is 14622080.

GCF of Denominators means GCF of 290,8534 as per the given fractions.

GCF of 290,8534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6820,8576

LCM of Fractions 6820/290,8576/8534 is 7311040

2 6820, 8576
2 3410, 4288
1705, 2144

∴ So the LCM of the given numbers is 2 x 2 x 1705 x 2144 = 14622080

Least Common Multiple of 6820,8576 with GCF Formula

Least Common Multiple of 6820,8576 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 6820,8576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6820,8576) = 4

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

GCF(6820,8576) x common factors =4 x 1 = 4

LCM(6820,8576) = ( 6820 × 8576 ) / 4

LCM(6820,8576) = 58488320 / 4

LCM(6820,8576) = 14622080


Lets's calculate GCF of 290,8534

2 290, 8534
145, 4267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14622080/2

Therefore the LCM of Fractions 6820/290,8576/8534 is 7311040

Greatest Common Factor of 290,8534 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,8534 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 8534

List of positive integer factors of 8534 that divides 8534 without a remainder.

1,2,17,34,251,502,4267,8534

Greatest Common Factor

We found the factors 290,8534 . The biggest common factor number is the GCF number.
So the greatest common factor 290,8534 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 6820/290, 8576/8534

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 6820/290, 8576/8534?

Answer: LCM of Numerators as per given numbers 6820/290, 8576/8534 is

LCM of Numerators i.e. for 6820,8576 is 14622080

GCF of denominators i.e. for 290,8534 is 2.

Thus, LCM of Fractions is 7311040.Finally, LCM of Fractions for 6820/290, 8576/8534 is 7311040.