Least Common Multiple of 199/820, 4102/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/820, 4102/682 quickly i.e. 408149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/820, 4102/682 is 408149.

LCM(199/820, 4102/682) = 408149

LCM of 199/820, 4102/682

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 199/820,4102/682

Given numbers are 199/820,4102/682

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 199,4102

Least Common Multiple of Numerators i.e. LCM of 199,4102 is 816298.

GCF of Denominators means GCF of 820,682 as per the given fractions.

GCF of 820,682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,4102

LCM of Fractions 199/820,4102/682 is 408149

Given numbers has no common factors except 1. So, there LCM is their product i.e 816298

Least Common Multiple of 199,4102 with GCF Formula

Least Common Multiple of 199,4102 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 199,4102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,4102) = 1

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

GCF(199,4102) x common factors =1 x 1 = 1

LCM(199,4102) = ( 199 × 4102 ) / 1

LCM(199,4102) = 816298 / 1

LCM(199,4102) = 816298


Lets's calculate GCF of 820,682

2 820, 682
410, 341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816298/2

Therefore the LCM of Fractions 199/820,4102/682 is 408149

Greatest Common Factor of 820,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,682 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 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 820,682 . The biggest common factor number is the GCF number.
So the greatest common factor 820,682 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 199/820, 4102/682

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 199/820, 4102/682?

Answer: LCM of Numerators as per given numbers 199/820, 4102/682 is

LCM of Numerators i.e. for 199,4102 is 816298

GCF of denominators i.e. for 820,682 is 2.

Thus, LCM of Fractions is 408149.Finally, LCM of Fractions for 199/820, 4102/682 is 408149.