Least Common Multiple of 62/414, 81/618, 499/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/414, 81/618, 499/496 quickly i.e. 1252989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/414, 81/618, 499/496 is 1252989.

LCM(62/414, 81/618, 499/496) = 1252989

LCM of 62/414, 81/618, 499/496

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 62/414,81/618,499/496

Given numbers are 62/414,81/618,499/496

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 62,81,499

Least Common Multiple of Numerators i.e. LCM of 62,81,499 is 2505978.

GCF of Denominators means GCF of 414,618,496 as per the given fractions.

GCF of 414,618,496 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,81,499

LCM of Fractions 62/414,81/618,499/496 is 1252989

Given numbers has no common factors except 1. So, there LCM is their product i.e 2505978

Least Common Multiple of 62,81,499 with GCF Formula

Least Common Multiple of 62,81,499 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 62,81,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,81,499) = 1

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

GCF(62,81,499) x common factors =1 x 1 = 1

LCM(62,81,499) = ( 62 × 81 × 499 ) / 1

LCM(62,81,499) = 2505978 / 1

LCM(62,81,499) = 2505978


Lets's calculate GCF of 414,618,496

2 414, 618, 496
207, 309, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2505978/2

Therefore the LCM of Fractions 62/414,81/618,499/496 is 1252989

Greatest Common Factor of 414,618,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,618,496 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 414,618,496 . The biggest common factor number is the GCF number.
So the greatest common factor 414,618,496 is 2.


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 62/414, 81/618, 499/496

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 62/414, 81/618, 499/496?

Answer: LCM of Numerators as per given numbers 62/414, 81/618, 499/496 is

LCM of Numerators i.e. for 62,81,499 is 2505978

GCF of denominators i.e. for 414,618,496 is 2.

Thus, LCM of Fractions is 1252989.Finally, LCM of Fractions for 62/414, 81/618, 499/496 is 1252989.