Least Common Multiple of 34/506, 301/727, 812/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/506, 301/727, 812/996 quickly i.e. 593572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/506, 301/727, 812/996 is 593572.

LCM(34/506, 301/727, 812/996) = 593572

LCM of 34/506, 301/727, 812/996

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 34/506,301/727,812/996

Given numbers are 34/506,301/727,812/996

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 34,301,812

Least Common Multiple of Numerators i.e. LCM of 34,301,812 is 593572.

GCF of Denominators means GCF of 506,727,996 as per the given fractions.

GCF of 506,727,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,301,812

LCM of Fractions 34/506,301/727,812/996 is 593572

2 34, 301, 812
7 17, 301, 406
17, 43, 58

∴ So the LCM of the given numbers is 2 x 7 x 17 x 43 x 58 = 593572

Least Common Multiple of 34,301,812 with GCF Formula

Least Common Multiple of 34,301,812 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 34,301,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,301,812) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(34,301,812) x common factors =1 x 14 = 14

LCM(34,301,812) = ( 34 × 301 × 812 ) / 14

LCM(34,301,812) = 8310008 / 14

LCM(34,301,812) = 593572


Lets's calculate GCF of 506,727,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 593572/1

Therefore the LCM of Fractions 34/506,301/727,812/996 is 593572

Greatest Common Factor of 506,727,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,727,996 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 506,727,996 . The biggest common factor number is the GCF number.
So the greatest common factor 506,727,996 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 34/506, 301/727, 812/996

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 34/506, 301/727, 812/996?

Answer: LCM of Numerators as per given numbers 34/506, 301/727, 812/996 is

LCM of Numerators i.e. for 34,301,812 is 593572

GCF of denominators i.e. for 506,727,996 is 1.

Thus, LCM of Fractions is 593572.Finally, LCM of Fractions for 34/506, 301/727, 812/996 is 593572.