Least Common Multiple of 494/307, 7878/8530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/307, 7878/8530 quickly i.e. 149682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/307, 7878/8530 is 149682.

LCM(494/307, 7878/8530) = 149682

LCM of 494/307, 7878/8530

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 494/307,7878/8530

Given numbers are 494/307,7878/8530

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 494,7878

Least Common Multiple of Numerators i.e. LCM of 494,7878 is 149682.

GCF of Denominators means GCF of 307,8530 as per the given fractions.

GCF of 307,8530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,7878

LCM of Fractions 494/307,7878/8530 is 149682

2 494, 7878
13 247, 3939
19, 303

∴ So the LCM of the given numbers is 2 x 13 x 19 x 303 = 149682

Least Common Multiple of 494,7878 with GCF Formula

Least Common Multiple of 494,7878 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 494,7878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,7878) = 26

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

GCF(494,7878) x common factors =26 x 1 = 26

LCM(494,7878) = ( 494 × 7878 ) / 26

LCM(494,7878) = 3891732 / 26

LCM(494,7878) = 149682


Lets's calculate GCF of 307,8530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149682/1

Therefore the LCM of Fractions 494/307,7878/8530 is 149682

Greatest Common Factor of 307,8530 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,8530 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 8530

List of positive integer factors of 8530 that divides 8530 without a remainder.

1,2,5,10,853,1706,4265,8530

Greatest Common Factor

We found the factors 307,8530 . The biggest common factor number is the GCF number.
So the greatest common factor 307,8530 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 494/307, 7878/8530

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 494/307, 7878/8530?

Answer: LCM of Numerators as per given numbers 494/307, 7878/8530 is

LCM of Numerators i.e. for 494,7878 is 149682

GCF of denominators i.e. for 307,8530 is 1.

Thus, LCM of Fractions is 149682.Finally, LCM of Fractions for 494/307, 7878/8530 is 149682.