Least Common Multiple of 536/404, 992/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 536/404, 992/423 quickly i.e. 66464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/404, 992/423 is 66464.

LCM(536/404, 992/423) = 66464

LCM of 536/404, 992/423

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 536/404,992/423

Given numbers are 536/404,992/423

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 536,992

Least Common Multiple of Numerators i.e. LCM of 536,992 is 66464.

GCF of Denominators means GCF of 404,423 as per the given fractions.

GCF of 404,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,992

LCM of Fractions 536/404,992/423 is 66464

2 536, 992
2 268, 496
2 134, 248
67, 124

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 124 = 66464

Least Common Multiple of 536,992 with GCF Formula

Least Common Multiple of 536,992 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 536,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,992) = 8

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

GCF(536,992) x common factors =8 x 1 = 8

LCM(536,992) = ( 536 × 992 ) / 8

LCM(536,992) = 531712 / 8

LCM(536,992) = 66464


Lets's calculate GCF of 404,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66464/1

Therefore the LCM of Fractions 536/404,992/423 is 66464

Greatest Common Factor of 404,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,423 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 404,423 . The biggest common factor number is the GCF number.
So the greatest common factor 404,423 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 536/404, 992/423

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 536/404, 992/423?

Answer: LCM of Numerators as per given numbers 536/404, 992/423 is

LCM of Numerators i.e. for 536,992 is 66464

GCF of denominators i.e. for 404,423 is 1.

Thus, LCM of Fractions is 66464.Finally, LCM of Fractions for 536/404, 992/423 is 66464.