Least Common Multiple of 493/401, 6807/3385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/401, 6807/3385 quickly i.e. 3355851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/401, 6807/3385 is 3355851.

LCM(493/401, 6807/3385) = 3355851

LCM of 493/401, 6807/3385

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 493/401,6807/3385

Given numbers are 493/401,6807/3385

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 493,6807

Least Common Multiple of Numerators i.e. LCM of 493,6807 is 3355851.

GCF of Denominators means GCF of 401,3385 as per the given fractions.

GCF of 401,3385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,6807

LCM of Fractions 493/401,6807/3385 is 3355851

Given numbers has no common factors except 1. So, there LCM is their product i.e 3355851

Least Common Multiple of 493,6807 with GCF Formula

Least Common Multiple of 493,6807 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 493,6807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,6807) = 1

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

GCF(493,6807) x common factors =1 x 1 = 1

LCM(493,6807) = ( 493 × 6807 ) / 1

LCM(493,6807) = 3355851 / 1

LCM(493,6807) = 3355851


Lets's calculate GCF of 401,3385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3355851/1

Therefore the LCM of Fractions 493/401,6807/3385 is 3355851

Greatest Common Factor of 401,3385 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,3385 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 3385

List of positive integer factors of 3385 that divides 3385 without a remainder.

1,5,677,3385

Greatest Common Factor

We found the factors 401,3385 . The biggest common factor number is the GCF number.
So the greatest common factor 401,3385 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 493/401, 6807/3385

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 493/401, 6807/3385?

Answer: LCM of Numerators as per given numbers 493/401, 6807/3385 is

LCM of Numerators i.e. for 493,6807 is 3355851

GCF of denominators i.e. for 401,3385 is 1.

Thus, LCM of Fractions is 3355851.Finally, LCM of Fractions for 493/401, 6807/3385 is 3355851.