Least Common Multiple of 485/20, 8234/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/20, 8234/523 quickly i.e. 3993490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/20, 8234/523 is 3993490.

LCM(485/20, 8234/523) = 3993490

LCM of 485/20, 8234/523

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 485/20,8234/523

Given numbers are 485/20,8234/523

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 485,8234

Least Common Multiple of Numerators i.e. LCM of 485,8234 is 3993490.

GCF of Denominators means GCF of 20,523 as per the given fractions.

GCF of 20,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,8234

LCM of Fractions 485/20,8234/523 is 3993490

Given numbers has no common factors except 1. So, there LCM is their product i.e 3993490

Least Common Multiple of 485,8234 with GCF Formula

Least Common Multiple of 485,8234 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 485,8234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,8234) = 1

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

GCF(485,8234) x common factors =1 x 1 = 1

LCM(485,8234) = ( 485 × 8234 ) / 1

LCM(485,8234) = 3993490 / 1

LCM(485,8234) = 3993490


Lets's calculate GCF of 20,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3993490/1

Therefore the LCM of Fractions 485/20,8234/523 is 3993490

Greatest Common Factor of 20,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,523 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 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 20,523 . The biggest common factor number is the GCF number.
So the greatest common factor 20,523 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 485/20, 8234/523

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 485/20, 8234/523?

Answer: LCM of Numerators as per given numbers 485/20, 8234/523 is

LCM of Numerators i.e. for 485,8234 is 3993490

GCF of denominators i.e. for 20,523 is 1.

Thus, LCM of Fractions is 3993490.Finally, LCM of Fractions for 485/20, 8234/523 is 3993490.