Least Common Multiple of 6821/598, 8502/1616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6821/598, 8502/1616 quickly i.e. 28996071 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6821/598, 8502/1616 is 28996071.

LCM(6821/598, 8502/1616) = 28996071

LCM of 6821/598, 8502/1616

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 6821/598,8502/1616

Given numbers are 6821/598,8502/1616

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 6821,8502

Least Common Multiple of Numerators i.e. LCM of 6821,8502 is 57992142.

GCF of Denominators means GCF of 598,1616 as per the given fractions.

GCF of 598,1616 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6821,8502

LCM of Fractions 6821/598,8502/1616 is 28996071

Given numbers has no common factors except 1. So, there LCM is their product i.e 57992142

Least Common Multiple of 6821,8502 with GCF Formula

Least Common Multiple of 6821,8502 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 6821,8502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6821,8502) = 1

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

GCF(6821,8502) x common factors =1 x 1 = 1

LCM(6821,8502) = ( 6821 × 8502 ) / 1

LCM(6821,8502) = 57992142 / 1

LCM(6821,8502) = 57992142


Lets's calculate GCF of 598,1616

2 598, 1616
299, 808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57992142/2

Therefore the LCM of Fractions 6821/598,8502/1616 is 28996071

Greatest Common Factor of 598,1616 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,1616 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1,2,4,8,16,101,202,404,808,1616

Greatest Common Factor

We found the factors 598,1616 . The biggest common factor number is the GCF number.
So the greatest common factor 598,1616 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 6821/598, 8502/1616

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 6821/598, 8502/1616?

Answer: LCM of Numerators as per given numbers 6821/598, 8502/1616 is

LCM of Numerators i.e. for 6821,8502 is 57992142

GCF of denominators i.e. for 598,1616 is 2.

Thus, LCM of Fractions is 28996071.Finally, LCM of Fractions for 6821/598, 8502/1616 is 28996071.