Least Common Multiple of 575/13, 150/49, 355/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/13, 150/49, 355/768 quickly i.e. 244950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/13, 150/49, 355/768 is 244950.

LCM(575/13, 150/49, 355/768) = 244950

LCM of 575/13, 150/49, 355/768

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 575/13,150/49,355/768

Given numbers are 575/13,150/49,355/768

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 575,150,355

Least Common Multiple of Numerators i.e. LCM of 575,150,355 is 244950.

GCF of Denominators means GCF of 13,49,768 as per the given fractions.

GCF of 13,49,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,150,355

LCM of Fractions 575/13,150/49,355/768 is 244950

5 575, 150, 355
5 115, 30, 71
23, 6, 71

∴ So the LCM of the given numbers is 5 x 5 x 23 x 6 x 71 = 244950

Least Common Multiple of 575,150,355 with GCF Formula

Least Common Multiple of 575,150,355 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 575,150,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,150,355) = 5

common factors(in case of two or more numbers have common factors) = 25

GCF(575,150,355) x common factors =5 x 25 = 125

LCM(575,150,355) = ( 575 × 150 × 355 ) / 125

LCM(575,150,355) = 30618750 / 125

LCM(575,150,355) = 244950


Lets's calculate GCF of 13,49,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244950/1

Therefore the LCM of Fractions 575/13,150/49,355/768 is 244950

Greatest Common Factor of 13,49,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,49,768 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 13,49,768 . The biggest common factor number is the GCF number.
So the greatest common factor 13,49,768 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 575/13, 150/49, 355/768

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 575/13, 150/49, 355/768?

Answer: LCM of Numerators as per given numbers 575/13, 150/49, 355/768 is

LCM of Numerators i.e. for 575,150,355 is 244950

GCF of denominators i.e. for 13,49,768 is 1.

Thus, LCM of Fractions is 244950.Finally, LCM of Fractions for 575/13, 150/49, 355/768 is 244950.