Least Common Multiple of 7284/717, 6066/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7284/717, 6066/509 quickly i.e. 7364124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7284/717, 6066/509 is 7364124.

LCM(7284/717, 6066/509) = 7364124

LCM of 7284/717, 6066/509

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 7284/717,6066/509

Given numbers are 7284/717,6066/509

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 7284,6066

Least Common Multiple of Numerators i.e. LCM of 7284,6066 is 7364124.

GCF of Denominators means GCF of 717,509 as per the given fractions.

GCF of 717,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7284,6066

LCM of Fractions 7284/717,6066/509 is 7364124

2 7284, 6066
3 3642, 3033
1214, 1011

∴ So the LCM of the given numbers is 2 x 3 x 1214 x 1011 = 7364124

Least Common Multiple of 7284,6066 with GCF Formula

Least Common Multiple of 7284,6066 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 7284,6066 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7284,6066) = 6

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

GCF(7284,6066) x common factors =6 x 1 = 6

LCM(7284,6066) = ( 7284 × 6066 ) / 6

LCM(7284,6066) = 44184744 / 6

LCM(7284,6066) = 7364124


Lets's calculate GCF of 717,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7364124/1

Therefore the LCM of Fractions 7284/717,6066/509 is 7364124

Greatest Common Factor of 717,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,509 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 717,509 . The biggest common factor number is the GCF number.
So the greatest common factor 717,509 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 7284/717, 6066/509

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 7284/717, 6066/509?

Answer: LCM of Numerators as per given numbers 7284/717, 6066/509 is

LCM of Numerators i.e. for 7284,6066 is 7364124

GCF of denominators i.e. for 717,509 is 1.

Thus, LCM of Fractions is 7364124.Finally, LCM of Fractions for 7284/717, 6066/509 is 7364124.