Least Common Multiple of 529/432, 3450/8623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 529/432, 3450/8623 quickly i.e. 79350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 529/432, 3450/8623 is 79350.

LCM(529/432, 3450/8623) = 79350

LCM of 529/432, 3450/8623

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 529/432,3450/8623

Given numbers are 529/432,3450/8623

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 529,3450

Least Common Multiple of Numerators i.e. LCM of 529,3450 is 79350.

GCF of Denominators means GCF of 432,8623 as per the given fractions.

GCF of 432,8623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 529,3450

LCM of Fractions 529/432,3450/8623 is 79350

23 529, 3450
23, 150

∴ So the LCM of the given numbers is 23 x 23 x 150 = 79350

Least Common Multiple of 529,3450 with GCF Formula

Least Common Multiple of 529,3450 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 529,3450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,3450) = 23

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

GCF(529,3450) x common factors =23 x 1 = 23

LCM(529,3450) = ( 529 × 3450 ) / 23

LCM(529,3450) = 1825050 / 23

LCM(529,3450) = 79350


Lets's calculate GCF of 432,8623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79350/1

Therefore the LCM of Fractions 529/432,3450/8623 is 79350

Greatest Common Factor of 432,8623 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,8623 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 8623

List of positive integer factors of 8623 that divides 8623 without a remainder.

1,8623

Greatest Common Factor

We found the factors 432,8623 . The biggest common factor number is the GCF number.
So the greatest common factor 432,8623 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 529/432, 3450/8623

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 529/432, 3450/8623?

Answer: LCM of Numerators as per given numbers 529/432, 3450/8623 is

LCM of Numerators i.e. for 529,3450 is 79350

GCF of denominators i.e. for 432,8623 is 1.

Thus, LCM of Fractions is 79350.Finally, LCM of Fractions for 529/432, 3450/8623 is 79350.