Least Common Multiple of 109/413, 5702/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/413, 5702/820 quickly i.e. 621518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/413, 5702/820 is 621518.

LCM(109/413, 5702/820) = 621518

LCM of 109/413, 5702/820

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 109/413,5702/820

Given numbers are 109/413,5702/820

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 109,5702

Least Common Multiple of Numerators i.e. LCM of 109,5702 is 621518.

GCF of Denominators means GCF of 413,820 as per the given fractions.

GCF of 413,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,5702

LCM of Fractions 109/413,5702/820 is 621518

Given numbers has no common factors except 1. So, there LCM is their product i.e 621518

Least Common Multiple of 109,5702 with GCF Formula

Least Common Multiple of 109,5702 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 109,5702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,5702) = 1

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

GCF(109,5702) x common factors =1 x 1 = 1

LCM(109,5702) = ( 109 × 5702 ) / 1

LCM(109,5702) = 621518 / 1

LCM(109,5702) = 621518


Lets's calculate GCF of 413,820

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 621518/1

Therefore the LCM of Fractions 109/413,5702/820 is 621518

Greatest Common Factor of 413,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,820 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

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

Greatest Common Factor

We found the factors 413,820 . The biggest common factor number is the GCF number.
So the greatest common factor 413,820 is 1.


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 109/413, 5702/820

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 109/413, 5702/820?

Answer: LCM of Numerators as per given numbers 109/413, 5702/820 is

LCM of Numerators i.e. for 109,5702 is 621518

GCF of denominators i.e. for 413,820 is 1.

Thus, LCM of Fractions is 621518.Finally, LCM of Fractions for 109/413, 5702/820 is 621518.