Least Common Multiple of 717/486, 5354/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 717/486, 5354/599 quickly i.e. 3838818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/486, 5354/599 is 3838818.

LCM(717/486, 5354/599) = 3838818

LCM of 717/486, 5354/599

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 717/486,5354/599

Given numbers are 717/486,5354/599

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 717,5354

Least Common Multiple of Numerators i.e. LCM of 717,5354 is 3838818.

GCF of Denominators means GCF of 486,599 as per the given fractions.

GCF of 486,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,5354

LCM of Fractions 717/486,5354/599 is 3838818

Given numbers has no common factors except 1. So, there LCM is their product i.e 3838818

Least Common Multiple of 717,5354 with GCF Formula

Least Common Multiple of 717,5354 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 717,5354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,5354) = 1

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

GCF(717,5354) x common factors =1 x 1 = 1

LCM(717,5354) = ( 717 × 5354 ) / 1

LCM(717,5354) = 3838818 / 1

LCM(717,5354) = 3838818


Lets's calculate GCF of 486,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3838818/1

Therefore the LCM of Fractions 717/486,5354/599 is 3838818

Greatest Common Factor of 486,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,599 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 486,599 . The biggest common factor number is the GCF number.
So the greatest common factor 486,599 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 717/486, 5354/599

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 717/486, 5354/599?

Answer: LCM of Numerators as per given numbers 717/486, 5354/599 is

LCM of Numerators i.e. for 717,5354 is 3838818

GCF of denominators i.e. for 486,599 is 1.

Thus, LCM of Fractions is 3838818.Finally, LCM of Fractions for 717/486, 5354/599 is 3838818.