Least Common Multiple of 8528/542, 9287/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8528/542, 9287/462 quickly i.e. 39599768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8528/542, 9287/462 is 39599768.

LCM(8528/542, 9287/462) = 39599768

LCM of 8528/542, 9287/462

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 8528/542,9287/462

Given numbers are 8528/542,9287/462

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 8528,9287

Least Common Multiple of Numerators i.e. LCM of 8528,9287 is 79199536.

GCF of Denominators means GCF of 542,462 as per the given fractions.

GCF of 542,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8528,9287

LCM of Fractions 8528/542,9287/462 is 39599768

Given numbers has no common factors except 1. So, there LCM is their product i.e 79199536

Least Common Multiple of 8528,9287 with GCF Formula

Least Common Multiple of 8528,9287 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 8528,9287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8528,9287) = 1

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

GCF(8528,9287) x common factors =1 x 1 = 1

LCM(8528,9287) = ( 8528 × 9287 ) / 1

LCM(8528,9287) = 79199536 / 1

LCM(8528,9287) = 79199536


Lets's calculate GCF of 542,462

2 542, 462
271, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79199536/2

Therefore the LCM of Fractions 8528/542,9287/462 is 39599768

Greatest Common Factor of 542,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,462 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 542,462 . The biggest common factor number is the GCF number.
So the greatest common factor 542,462 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 8528/542, 9287/462

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 8528/542, 9287/462?

Answer: LCM of Numerators as per given numbers 8528/542, 9287/462 is

LCM of Numerators i.e. for 8528,9287 is 79199536

GCF of denominators i.e. for 542,462 is 2.

Thus, LCM of Fractions is 39599768.Finally, LCM of Fractions for 8528/542, 9287/462 is 39599768.