Least Common Multiple of 4248/418, 8423/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4248/418, 8423/474 quickly i.e. 17890452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4248/418, 8423/474 is 17890452.

LCM(4248/418, 8423/474) = 17890452

LCM of 4248/418, 8423/474

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 4248/418,8423/474

Given numbers are 4248/418,8423/474

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 4248,8423

Least Common Multiple of Numerators i.e. LCM of 4248,8423 is 35780904.

GCF of Denominators means GCF of 418,474 as per the given fractions.

GCF of 418,474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4248,8423

LCM of Fractions 4248/418,8423/474 is 17890452

Given numbers has no common factors except 1. So, there LCM is their product i.e 35780904

Least Common Multiple of 4248,8423 with GCF Formula

Least Common Multiple of 4248,8423 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 4248,8423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4248,8423) = 1

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

GCF(4248,8423) x common factors =1 x 1 = 1

LCM(4248,8423) = ( 4248 × 8423 ) / 1

LCM(4248,8423) = 35780904 / 1

LCM(4248,8423) = 35780904


Lets's calculate GCF of 418,474

2 418, 474
209, 237

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35780904/2

Therefore the LCM of Fractions 4248/418,8423/474 is 17890452

Greatest Common Factor of 418,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,474 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 418,474 . The biggest common factor number is the GCF number.
So the greatest common factor 418,474 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4248/418, 8423/474

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 4248/418, 8423/474?

Answer: LCM of Numerators as per given numbers 4248/418, 8423/474 is

LCM of Numerators i.e. for 4248,8423 is 35780904

GCF of denominators i.e. for 418,474 is 2.

Thus, LCM of Fractions is 17890452.Finally, LCM of Fractions for 4248/418, 8423/474 is 17890452.