Least Common Multiple of 509/747, 3174/6506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/747, 3174/6506 quickly i.e. 1615566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/747, 3174/6506 is 1615566.

LCM(509/747, 3174/6506) = 1615566

LCM of 509/747, 3174/6506

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 509/747,3174/6506

Given numbers are 509/747,3174/6506

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 509,3174

Least Common Multiple of Numerators i.e. LCM of 509,3174 is 1615566.

GCF of Denominators means GCF of 747,6506 as per the given fractions.

GCF of 747,6506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,3174

LCM of Fractions 509/747,3174/6506 is 1615566

Given numbers has no common factors except 1. So, there LCM is their product i.e 1615566

Least Common Multiple of 509,3174 with GCF Formula

Least Common Multiple of 509,3174 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 509,3174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,3174) = 1

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

GCF(509,3174) x common factors =1 x 1 = 1

LCM(509,3174) = ( 509 × 3174 ) / 1

LCM(509,3174) = 1615566 / 1

LCM(509,3174) = 1615566


Lets's calculate GCF of 747,6506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1615566/1

Therefore the LCM of Fractions 509/747,3174/6506 is 1615566

Greatest Common Factor of 747,6506 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,6506 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 6506

List of positive integer factors of 6506 that divides 6506 without a remainder.

1,2,3253,6506

Greatest Common Factor

We found the factors 747,6506 . The biggest common factor number is the GCF number.
So the greatest common factor 747,6506 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 509/747, 3174/6506

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 509/747, 3174/6506?

Answer: LCM of Numerators as per given numbers 509/747, 3174/6506 is

LCM of Numerators i.e. for 509,3174 is 1615566

GCF of denominators i.e. for 747,6506 is 1.

Thus, LCM of Fractions is 1615566.Finally, LCM of Fractions for 509/747, 3174/6506 is 1615566.