Least Common Multiple of 307/804, 1517/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/804, 1517/285 quickly i.e. 465719/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/804, 1517/285 is 465719/3.

LCM(307/804, 1517/285) = 465719/3

LCM of 307/804, 1517/285

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 307/804,1517/285

Given numbers are 307/804,1517/285

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 307,1517

Least Common Multiple of Numerators i.e. LCM of 307,1517 is 465719.

GCF of Denominators means GCF of 804,285 as per the given fractions.

GCF of 804,285 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,1517

LCM of Fractions 307/804,1517/285 is 465719/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 465719

Least Common Multiple of 307,1517 with GCF Formula

Least Common Multiple of 307,1517 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 307,1517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,1517) = 1

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

GCF(307,1517) x common factors =1 x 1 = 1

LCM(307,1517) = ( 307 × 1517 ) / 1

LCM(307,1517) = 465719 / 1

LCM(307,1517) = 465719


Lets's calculate GCF of 804,285

3 804, 285
268, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465719/3

Therefore the LCM of Fractions 307/804,1517/285 is 465719/3

Greatest Common Factor of 804,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,285 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 804,285 . The biggest common factor number is the GCF number.
So the greatest common factor 804,285 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 307/804, 1517/285

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 307/804, 1517/285?

Answer: LCM of Numerators as per given numbers 307/804, 1517/285 is

LCM of Numerators i.e. for 307,1517 is 465719

GCF of denominators i.e. for 804,285 is 3.

Thus, LCM of Fractions is 465719/3.Finally, LCM of Fractions for 307/804, 1517/285 is 465719/3.