Least Common Multiple of 369/401, 2596/3109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/401, 2596/3109 quickly i.e. 957924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/401, 2596/3109 is 957924.

LCM(369/401, 2596/3109) = 957924

LCM of 369/401, 2596/3109

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 369/401,2596/3109

Given numbers are 369/401,2596/3109

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 369,2596

Least Common Multiple of Numerators i.e. LCM of 369,2596 is 957924.

GCF of Denominators means GCF of 401,3109 as per the given fractions.

GCF of 401,3109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,2596

LCM of Fractions 369/401,2596/3109 is 957924

Given numbers has no common factors except 1. So, there LCM is their product i.e 957924

Least Common Multiple of 369,2596 with GCF Formula

Least Common Multiple of 369,2596 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 369,2596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,2596) = 1

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

GCF(369,2596) x common factors =1 x 1 = 1

LCM(369,2596) = ( 369 × 2596 ) / 1

LCM(369,2596) = 957924 / 1

LCM(369,2596) = 957924


Lets's calculate GCF of 401,3109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 957924/1

Therefore the LCM of Fractions 369/401,2596/3109 is 957924

Greatest Common Factor of 401,3109 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,3109 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 3109

List of positive integer factors of 3109 that divides 3109 without a remainder.

1,3109

Greatest Common Factor

We found the factors 401,3109 . The biggest common factor number is the GCF number.
So the greatest common factor 401,3109 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 369/401, 2596/3109

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 369/401, 2596/3109?

Answer: LCM of Numerators as per given numbers 369/401, 2596/3109 is

LCM of Numerators i.e. for 369,2596 is 957924

GCF of denominators i.e. for 401,3109 is 1.

Thus, LCM of Fractions is 957924.Finally, LCM of Fractions for 369/401, 2596/3109 is 957924.