Least Common Multiple of 493/39, 505/7666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/39, 505/7666 quickly i.e. 248965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/39, 505/7666 is 248965.

LCM(493/39, 505/7666) = 248965

LCM of 493/39, 505/7666

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 493/39,505/7666

Given numbers are 493/39,505/7666

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 493,505

Least Common Multiple of Numerators i.e. LCM of 493,505 is 248965.

GCF of Denominators means GCF of 39,7666 as per the given fractions.

GCF of 39,7666 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,505

LCM of Fractions 493/39,505/7666 is 248965

Given numbers has no common factors except 1. So, there LCM is their product i.e 248965

Least Common Multiple of 493,505 with GCF Formula

Least Common Multiple of 493,505 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 493,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,505) = 1

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

GCF(493,505) x common factors =1 x 1 = 1

LCM(493,505) = ( 493 × 505 ) / 1

LCM(493,505) = 248965 / 1

LCM(493,505) = 248965


Lets's calculate GCF of 39,7666

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248965/1

Therefore the LCM of Fractions 493/39,505/7666 is 248965

Greatest Common Factor of 39,7666 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,7666 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 7666

List of positive integer factors of 7666 that divides 7666 without a remainder.

1,2,3833,7666

Greatest Common Factor

We found the factors 39,7666 . The biggest common factor number is the GCF number.
So the greatest common factor 39,7666 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 493/39, 505/7666

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 493/39, 505/7666?

Answer: LCM of Numerators as per given numbers 493/39, 505/7666 is

LCM of Numerators i.e. for 493,505 is 248965

GCF of denominators i.e. for 39,7666 is 1.

Thus, LCM of Fractions is 248965.Finally, LCM of Fractions for 493/39, 505/7666 is 248965.