Least Common Multiple of 431/58, 605/1522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/58, 605/1522 quickly i.e. 260755/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/58, 605/1522 is 260755/2.

LCM(431/58, 605/1522) = 260755/2

LCM of 431/58, 605/1522

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 431/58,605/1522

Given numbers are 431/58,605/1522

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 431,605

Least Common Multiple of Numerators i.e. LCM of 431,605 is 260755.

GCF of Denominators means GCF of 58,1522 as per the given fractions.

GCF of 58,1522 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,605

LCM of Fractions 431/58,605/1522 is 260755/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 260755

Least Common Multiple of 431,605 with GCF Formula

Least Common Multiple of 431,605 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 431,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,605) = 1

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

GCF(431,605) x common factors =1 x 1 = 1

LCM(431,605) = ( 431 × 605 ) / 1

LCM(431,605) = 260755 / 1

LCM(431,605) = 260755


Lets's calculate GCF of 58,1522

2 58, 1522
29, 761

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260755/2

Therefore the LCM of Fractions 431/58,605/1522 is 260755/2

Greatest Common Factor of 58,1522 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,1522 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 1522

List of positive integer factors of 1522 that divides 1522 without a remainder.

1,2,761,1522

Greatest Common Factor

We found the factors 58,1522 . The biggest common factor number is the GCF number.
So the greatest common factor 58,1522 is 2.


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 431/58, 605/1522

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 431/58, 605/1522?

Answer: LCM of Numerators as per given numbers 431/58, 605/1522 is

LCM of Numerators i.e. for 431,605 is 260755

GCF of denominators i.e. for 58,1522 is 2.

Thus, LCM of Fractions is 260755/2.Finally, LCM of Fractions for 431/58, 605/1522 is 260755/2.