Least Common Multiple of 419/24, 966/4994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/24, 966/4994 quickly i.e. 202377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/24, 966/4994 is 202377.

LCM(419/24, 966/4994) = 202377

LCM of 419/24, 966/4994

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 419/24,966/4994

Given numbers are 419/24,966/4994

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 419,966

Least Common Multiple of Numerators i.e. LCM of 419,966 is 404754.

GCF of Denominators means GCF of 24,4994 as per the given fractions.

GCF of 24,4994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,966

LCM of Fractions 419/24,966/4994 is 202377

Given numbers has no common factors except 1. So, there LCM is their product i.e 404754

Least Common Multiple of 419,966 with GCF Formula

Least Common Multiple of 419,966 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 419,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,966) = 1

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

GCF(419,966) x common factors =1 x 1 = 1

LCM(419,966) = ( 419 × 966 ) / 1

LCM(419,966) = 404754 / 1

LCM(419,966) = 404754


Lets's calculate GCF of 24,4994

2 24, 4994
12, 2497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404754/2

Therefore the LCM of Fractions 419/24,966/4994 is 202377

Greatest Common Factor of 24,4994 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,4994 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 4994

List of positive integer factors of 4994 that divides 4994 without a remainder.

1,2,11,22,227,454,2497,4994

Greatest Common Factor

We found the factors 24,4994 . The biggest common factor number is the GCF number.
So the greatest common factor 24,4994 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 419/24, 966/4994

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 419/24, 966/4994?

Answer: LCM of Numerators as per given numbers 419/24, 966/4994 is

LCM of Numerators i.e. for 419,966 is 404754

GCF of denominators i.e. for 24,4994 is 2.

Thus, LCM of Fractions is 202377.Finally, LCM of Fractions for 419/24, 966/4994 is 202377.