Least Common Multiple of 596/377, 2145/3289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/377, 2145/3289 quickly i.e. 98340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/377, 2145/3289 is 98340.

LCM(596/377, 2145/3289) = 98340

LCM of 596/377, 2145/3289

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 596/377,2145/3289

Given numbers are 596/377,2145/3289

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 596,2145

Least Common Multiple of Numerators i.e. LCM of 596,2145 is 1278420.

GCF of Denominators means GCF of 377,3289 as per the given fractions.

GCF of 377,3289 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,2145

LCM of Fractions 596/377,2145/3289 is 98340

Given numbers has no common factors except 1. So, there LCM is their product i.e 1278420

Least Common Multiple of 596,2145 with GCF Formula

Least Common Multiple of 596,2145 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 596,2145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,2145) = 1

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

GCF(596,2145) x common factors =1 x 1 = 1

LCM(596,2145) = ( 596 × 2145 ) / 1

LCM(596,2145) = 1278420 / 1

LCM(596,2145) = 1278420


Lets's calculate GCF of 377,3289

13 377, 3289
29, 253

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1278420/13

Therefore the LCM of Fractions 596/377,2145/3289 is 98340

Greatest Common Factor of 377,3289 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,3289 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1,11,13,23,143,253,299,3289

Greatest Common Factor

We found the factors 377,3289 . The biggest common factor number is the GCF number.
So the greatest common factor 377,3289 is 13.


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 596/377, 2145/3289

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 596/377, 2145/3289?

Answer: LCM of Numerators as per given numbers 596/377, 2145/3289 is

LCM of Numerators i.e. for 596,2145 is 1278420

GCF of denominators i.e. for 377,3289 is 13.

Thus, LCM of Fractions is 98340.Finally, LCM of Fractions for 596/377, 2145/3289 is 98340.