Least Common Multiple of 3600/527, 8650/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3600/527, 8650/304 quickly i.e. 622800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3600/527, 8650/304 is 622800.

LCM(3600/527, 8650/304) = 622800

LCM of 3600/527, 8650/304

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 3600/527,8650/304

Given numbers are 3600/527,8650/304

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 3600,8650

Least Common Multiple of Numerators i.e. LCM of 3600,8650 is 622800.

GCF of Denominators means GCF of 527,304 as per the given fractions.

GCF of 527,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3600,8650

LCM of Fractions 3600/527,8650/304 is 622800

2 3600, 8650
5 1800, 4325
5 360, 865
72, 173

∴ So the LCM of the given numbers is 2 x 5 x 5 x 72 x 173 = 622800

Least Common Multiple of 3600,8650 with GCF Formula

Least Common Multiple of 3600,8650 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 3600,8650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3600,8650) = 50

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

GCF(3600,8650) x common factors =50 x 1 = 50

LCM(3600,8650) = ( 3600 × 8650 ) / 50

LCM(3600,8650) = 31140000 / 50

LCM(3600,8650) = 622800


Lets's calculate GCF of 527,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 622800/1

Therefore the LCM of Fractions 3600/527,8650/304 is 622800

Greatest Common Factor of 527,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,304 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 527,304 . The biggest common factor number is the GCF number.
So the greatest common factor 527,304 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 3600/527, 8650/304

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 3600/527, 8650/304?

Answer: LCM of Numerators as per given numbers 3600/527, 8650/304 is

LCM of Numerators i.e. for 3600,8650 is 622800

GCF of denominators i.e. for 527,304 is 1.

Thus, LCM of Fractions is 622800.Finally, LCM of Fractions for 3600/527, 8650/304 is 622800.