Least Common Multiple of 401/20, 744/8525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/20, 744/8525 quickly i.e. 298344/5 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, 744/8525 is 298344/5.

LCM(401/20, 744/8525) = 298344/5

LCM of 401/20, 744/8525

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 401/20,744/8525

Given numbers are 401/20,744/8525

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 401,744

Least Common Multiple of Numerators i.e. LCM of 401,744 is 298344.

GCF of Denominators means GCF of 20,8525 as per the given fractions.

GCF of 20,8525 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,744

LCM of Fractions 401/20,744/8525 is 298344/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 298344

Least Common Multiple of 401,744 with GCF Formula

Least Common Multiple of 401,744 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 401,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,744) = 1

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

GCF(401,744) x common factors =1 x 1 = 1

LCM(401,744) = ( 401 × 744 ) / 1

LCM(401,744) = 298344 / 1

LCM(401,744) = 298344


Lets's calculate GCF of 20,8525

5 20, 8525
4, 1705

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298344/5

Therefore the LCM of Fractions 401/20,744/8525 is 298344/5

Greatest Common Factor of 20,8525 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,8525 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 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1,5,11,25,31,55,155,275,341,775,1705,8525

Greatest Common Factor

We found the factors 20,8525 . The biggest common factor number is the GCF number.
So the greatest common factor 20,8525 is 5.


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, 744/8525

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, 744/8525?

Answer: LCM of Numerators as per given numbers 401/20, 744/8525 is

LCM of Numerators i.e. for 401,744 is 298344

GCF of denominators i.e. for 20,8525 is 5.

Thus, LCM of Fractions is 298344/5.Finally, LCM of Fractions for 401/20, 744/8525 is 298344/5.