Least Common Multiple of 589/522, 7432/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 589/522, 7432/277 quickly i.e. 4377448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/522, 7432/277 is 4377448.

LCM(589/522, 7432/277) = 4377448

LCM of 589/522, 7432/277

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 589/522,7432/277

Given numbers are 589/522,7432/277

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 589,7432

Least Common Multiple of Numerators i.e. LCM of 589,7432 is 4377448.

GCF of Denominators means GCF of 522,277 as per the given fractions.

GCF of 522,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,7432

LCM of Fractions 589/522,7432/277 is 4377448

Given numbers has no common factors except 1. So, there LCM is their product i.e 4377448

Least Common Multiple of 589,7432 with GCF Formula

Least Common Multiple of 589,7432 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 589,7432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,7432) = 1

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

GCF(589,7432) x common factors =1 x 1 = 1

LCM(589,7432) = ( 589 × 7432 ) / 1

LCM(589,7432) = 4377448 / 1

LCM(589,7432) = 4377448


Lets's calculate GCF of 522,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4377448/1

Therefore the LCM of Fractions 589/522,7432/277 is 4377448

Greatest Common Factor of 522,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,277 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 522,277 . The biggest common factor number is the GCF number.
So the greatest common factor 522,277 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 589/522, 7432/277

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 589/522, 7432/277?

Answer: LCM of Numerators as per given numbers 589/522, 7432/277 is

LCM of Numerators i.e. for 589,7432 is 4377448

GCF of denominators i.e. for 522,277 is 1.

Thus, LCM of Fractions is 4377448.Finally, LCM of Fractions for 589/522, 7432/277 is 4377448.