Least Common Multiple of 300/432, 5164/8561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/432, 5164/8561 quickly i.e. 387300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/432, 5164/8561 is 387300.

LCM(300/432, 5164/8561) = 387300

LCM of 300/432, 5164/8561

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 300/432,5164/8561

Given numbers are 300/432,5164/8561

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 300,5164

Least Common Multiple of Numerators i.e. LCM of 300,5164 is 387300.

GCF of Denominators means GCF of 432,8561 as per the given fractions.

GCF of 432,8561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,5164

LCM of Fractions 300/432,5164/8561 is 387300

2 300, 5164
2 150, 2582
75, 1291

∴ So the LCM of the given numbers is 2 x 2 x 75 x 1291 = 387300

Least Common Multiple of 300,5164 with GCF Formula

Least Common Multiple of 300,5164 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 300,5164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,5164) = 4

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

GCF(300,5164) x common factors =4 x 1 = 4

LCM(300,5164) = ( 300 × 5164 ) / 4

LCM(300,5164) = 1549200 / 4

LCM(300,5164) = 387300


Lets's calculate GCF of 432,8561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387300/1

Therefore the LCM of Fractions 300/432,5164/8561 is 387300

Greatest Common Factor of 432,8561 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,8561 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 8561

List of positive integer factors of 8561 that divides 8561 without a remainder.

1,7,1223,8561

Greatest Common Factor

We found the factors 432,8561 . The biggest common factor number is the GCF number.
So the greatest common factor 432,8561 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 300/432, 5164/8561

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 300/432, 5164/8561?

Answer: LCM of Numerators as per given numbers 300/432, 5164/8561 is

LCM of Numerators i.e. for 300,5164 is 387300

GCF of denominators i.e. for 432,8561 is 1.

Thus, LCM of Fractions is 387300.Finally, LCM of Fractions for 300/432, 5164/8561 is 387300.