Least Common Multiple of 493/14, 620/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/14, 620/803 quickly i.e. 305660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/14, 620/803 is 305660.

LCM(493/14, 620/803) = 305660

LCM of 493/14, 620/803

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 493/14,620/803

Given numbers are 493/14,620/803

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 493,620

Least Common Multiple of Numerators i.e. LCM of 493,620 is 305660.

GCF of Denominators means GCF of 14,803 as per the given fractions.

GCF of 14,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,620

LCM of Fractions 493/14,620/803 is 305660

Given numbers has no common factors except 1. So, there LCM is their product i.e 305660

Least Common Multiple of 493,620 with GCF Formula

Least Common Multiple of 493,620 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 493,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,620) = 1

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

GCF(493,620) x common factors =1 x 1 = 1

LCM(493,620) = ( 493 × 620 ) / 1

LCM(493,620) = 305660 / 1

LCM(493,620) = 305660


Lets's calculate GCF of 14,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305660/1

Therefore the LCM of Fractions 493/14,620/803 is 305660

Greatest Common Factor of 14,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,803 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 14,803 . The biggest common factor number is the GCF number.
So the greatest common factor 14,803 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 493/14, 620/803

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 493/14, 620/803?

Answer: LCM of Numerators as per given numbers 493/14, 620/803 is

LCM of Numerators i.e. for 493,620 is 305660

GCF of denominators i.e. for 14,803 is 1.

Thus, LCM of Fractions is 305660.Finally, LCM of Fractions for 493/14, 620/803 is 305660.