Least Common Multiple of 5169/369, 3398/2077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5169/369, 3398/2077 quickly i.e. 17564262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5169/369, 3398/2077 is 17564262.

LCM(5169/369, 3398/2077) = 17564262

LCM of 5169/369, 3398/2077

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 5169/369,3398/2077

Given numbers are 5169/369,3398/2077

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 5169,3398

Least Common Multiple of Numerators i.e. LCM of 5169,3398 is 17564262.

GCF of Denominators means GCF of 369,2077 as per the given fractions.

GCF of 369,2077 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5169,3398

LCM of Fractions 5169/369,3398/2077 is 17564262

Given numbers has no common factors except 1. So, there LCM is their product i.e 17564262

Least Common Multiple of 5169,3398 with GCF Formula

Least Common Multiple of 5169,3398 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 5169,3398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5169,3398) = 1

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

GCF(5169,3398) x common factors =1 x 1 = 1

LCM(5169,3398) = ( 5169 × 3398 ) / 1

LCM(5169,3398) = 17564262 / 1

LCM(5169,3398) = 17564262


Lets's calculate GCF of 369,2077

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17564262/1

Therefore the LCM of Fractions 5169/369,3398/2077 is 17564262

Greatest Common Factor of 369,2077 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,2077 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 2077

List of positive integer factors of 2077 that divides 2077 without a remainder.

1,31,67,2077

Greatest Common Factor

We found the factors 369,2077 . The biggest common factor number is the GCF number.
So the greatest common factor 369,2077 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 5169/369, 3398/2077

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 5169/369, 3398/2077?

Answer: LCM of Numerators as per given numbers 5169/369, 3398/2077 is

LCM of Numerators i.e. for 5169,3398 is 17564262

GCF of denominators i.e. for 369,2077 is 1.

Thus, LCM of Fractions is 17564262.Finally, LCM of Fractions for 5169/369, 3398/2077 is 17564262.