Least Common Multiple of 462/807, 3585/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/807, 3585/204 quickly i.e. 184030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/807, 3585/204 is 184030.

LCM(462/807, 3585/204) = 184030

LCM of 462/807, 3585/204

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 462/807,3585/204

Given numbers are 462/807,3585/204

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 462,3585

Least Common Multiple of Numerators i.e. LCM of 462,3585 is 552090.

GCF of Denominators means GCF of 807,204 as per the given fractions.

GCF of 807,204 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,3585

LCM of Fractions 462/807,3585/204 is 184030

3 462, 3585
154, 1195

∴ So the LCM of the given numbers is 3 x 154 x 1195 = 552090

Least Common Multiple of 462,3585 with GCF Formula

Least Common Multiple of 462,3585 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 462,3585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,3585) = 3

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

GCF(462,3585) x common factors =3 x 1 = 3

LCM(462,3585) = ( 462 × 3585 ) / 3

LCM(462,3585) = 1656270 / 3

LCM(462,3585) = 552090


Lets's calculate GCF of 807,204

3 807, 204
269, 68

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 552090/3

Therefore the LCM of Fractions 462/807,3585/204 is 184030

Greatest Common Factor of 807,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,204 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 807,204 . The biggest common factor number is the GCF number.
So the greatest common factor 807,204 is 3.


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 462/807, 3585/204

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 462/807, 3585/204?

Answer: LCM of Numerators as per given numbers 462/807, 3585/204 is

LCM of Numerators i.e. for 462,3585 is 552090

GCF of denominators i.e. for 807,204 is 3.

Thus, LCM of Fractions is 184030.Finally, LCM of Fractions for 462/807, 3585/204 is 184030.