Least Common Multiple of 299/614, 4966/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/614, 4966/249 quickly i.e. 114218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/614, 4966/249 is 114218.

LCM(299/614, 4966/249) = 114218

LCM of 299/614, 4966/249

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 299/614,4966/249

Given numbers are 299/614,4966/249

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 299,4966

Least Common Multiple of Numerators i.e. LCM of 299,4966 is 114218.

GCF of Denominators means GCF of 614,249 as per the given fractions.

GCF of 614,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,4966

LCM of Fractions 299/614,4966/249 is 114218

13 299, 4966
23, 382

∴ So the LCM of the given numbers is 13 x 23 x 382 = 114218

Least Common Multiple of 299,4966 with GCF Formula

Least Common Multiple of 299,4966 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 299,4966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,4966) = 13

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

GCF(299,4966) x common factors =13 x 1 = 13

LCM(299,4966) = ( 299 × 4966 ) / 13

LCM(299,4966) = 1484834 / 13

LCM(299,4966) = 114218


Lets's calculate GCF of 614,249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114218/1

Therefore the LCM of Fractions 299/614,4966/249 is 114218

Greatest Common Factor of 614,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,249 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 614,249 . The biggest common factor number is the GCF number.
So the greatest common factor 614,249 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 299/614, 4966/249

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 299/614, 4966/249?

Answer: LCM of Numerators as per given numbers 299/614, 4966/249 is

LCM of Numerators i.e. for 299,4966 is 114218

GCF of denominators i.e. for 614,249 is 1.

Thus, LCM of Fractions is 114218.Finally, LCM of Fractions for 299/614, 4966/249 is 114218.