Least Common Multiple of 401/20, 6156/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/20, 6156/493 quickly i.e. 2468556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/20, 6156/493 is 2468556.

LCM(401/20, 6156/493) = 2468556

LCM of 401/20, 6156/493

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 401/20,6156/493

Given numbers are 401/20,6156/493

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 401,6156

Least Common Multiple of Numerators i.e. LCM of 401,6156 is 2468556.

GCF of Denominators means GCF of 20,493 as per the given fractions.

GCF of 20,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,6156

LCM of Fractions 401/20,6156/493 is 2468556

Given numbers has no common factors except 1. So, there LCM is their product i.e 2468556

Least Common Multiple of 401,6156 with GCF Formula

Least Common Multiple of 401,6156 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 401,6156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,6156) = 1

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

GCF(401,6156) x common factors =1 x 1 = 1

LCM(401,6156) = ( 401 × 6156 ) / 1

LCM(401,6156) = 2468556 / 1

LCM(401,6156) = 2468556


Lets's calculate GCF of 20,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2468556/1

Therefore the LCM of Fractions 401/20,6156/493 is 2468556

Greatest Common Factor of 20,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,493 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 20,493 . The biggest common factor number is the GCF number.
So the greatest common factor 20,493 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 401/20, 6156/493

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 401/20, 6156/493?

Answer: LCM of Numerators as per given numbers 401/20, 6156/493 is

LCM of Numerators i.e. for 401,6156 is 2468556

GCF of denominators i.e. for 20,493 is 1.

Thus, LCM of Fractions is 2468556.Finally, LCM of Fractions for 401/20, 6156/493 is 2468556.