Least Common Multiple of 145/57, 348/2439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 145/57, 348/2439 quickly i.e. 580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/57, 348/2439 is 580.

LCM(145/57, 348/2439) = 580

LCM of 145/57, 348/2439

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 145/57,348/2439

Given numbers are 145/57,348/2439

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 145,348

Least Common Multiple of Numerators i.e. LCM of 145,348 is 1740.

GCF of Denominators means GCF of 57,2439 as per the given fractions.

GCF of 57,2439 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,348

LCM of Fractions 145/57,348/2439 is 580

29 145, 348
5, 12

∴ So the LCM of the given numbers is 29 x 5 x 12 = 1740

Least Common Multiple of 145,348 with GCF Formula

Least Common Multiple of 145,348 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 145,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,348) = 29

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

GCF(145,348) x common factors =29 x 1 = 29

LCM(145,348) = ( 145 × 348 ) / 29

LCM(145,348) = 50460 / 29

LCM(145,348) = 1740


Lets's calculate GCF of 57,2439

3 57, 2439
19, 813

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1740/3

Therefore the LCM of Fractions 145/57,348/2439 is 580

Greatest Common Factor of 57,2439 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,2439 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 2439

List of positive integer factors of 2439 that divides 2439 without a remainder.

1,3,9,271,813,2439

Greatest Common Factor

We found the factors 57,2439 . The biggest common factor number is the GCF number.
So the greatest common factor 57,2439 is 3.


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 145/57, 348/2439

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 145/57, 348/2439?

Answer: LCM of Numerators as per given numbers 145/57, 348/2439 is

LCM of Numerators i.e. for 145,348 is 1740

GCF of denominators i.e. for 57,2439 is 3.

Thus, LCM of Fractions is 580.Finally, LCM of Fractions for 145/57, 348/2439 is 580.