Least Common Multiple of 32/452, 4509/5784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/452, 4509/5784 quickly i.e. 36072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/452, 4509/5784 is 36072.

LCM(32/452, 4509/5784) = 36072

LCM of 32/452, 4509/5784

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 32/452,4509/5784

Given numbers are 32/452,4509/5784

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 32,4509

Least Common Multiple of Numerators i.e. LCM of 32,4509 is 144288.

GCF of Denominators means GCF of 452,5784 as per the given fractions.

GCF of 452,5784 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,4509

LCM of Fractions 32/452,4509/5784 is 36072

Given numbers has no common factors except 1. So, there LCM is their product i.e 144288

Least Common Multiple of 32,4509 with GCF Formula

Least Common Multiple of 32,4509 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 32,4509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,4509) = 1

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

GCF(32,4509) x common factors =1 x 1 = 1

LCM(32,4509) = ( 32 × 4509 ) / 1

LCM(32,4509) = 144288 / 1

LCM(32,4509) = 144288


Lets's calculate GCF of 452,5784

2 452, 5784
2 226, 2892
113, 1446

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144288/4

Therefore the LCM of Fractions 32/452,4509/5784 is 36072

Greatest Common Factor of 452,5784 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,5784 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 5784

List of positive integer factors of 5784 that divides 5784 without a remainder.

1,2,3,4,6,8,12,24,241,482,723,964,1446,1928,2892,5784

Greatest Common Factor

We found the factors 452,5784 . The biggest common factor number is the GCF number.
So the greatest common factor 452,5784 is 4.


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 32/452, 4509/5784

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 32/452, 4509/5784?

Answer: LCM of Numerators as per given numbers 32/452, 4509/5784 is

LCM of Numerators i.e. for 32,4509 is 144288

GCF of denominators i.e. for 452,5784 is 4.

Thus, LCM of Fractions is 36072.Finally, LCM of Fractions for 32/452, 4509/5784 is 36072.