Least Common Multiple of 83/496, 4263/4414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/496, 4263/4414 quickly i.e. 353829/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/496, 4263/4414 is 353829/2.

LCM(83/496, 4263/4414) = 353829/2

LCM of 83/496, 4263/4414

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 83/496,4263/4414

Given numbers are 83/496,4263/4414

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 83,4263

Least Common Multiple of Numerators i.e. LCM of 83,4263 is 353829.

GCF of Denominators means GCF of 496,4414 as per the given fractions.

GCF of 496,4414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,4263

LCM of Fractions 83/496,4263/4414 is 353829/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 353829

Least Common Multiple of 83,4263 with GCF Formula

Least Common Multiple of 83,4263 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 83,4263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,4263) = 1

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

GCF(83,4263) x common factors =1 x 1 = 1

LCM(83,4263) = ( 83 × 4263 ) / 1

LCM(83,4263) = 353829 / 1

LCM(83,4263) = 353829


Lets's calculate GCF of 496,4414

2 496, 4414
248, 2207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353829/2

Therefore the LCM of Fractions 83/496,4263/4414 is 353829/2

Greatest Common Factor of 496,4414 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,4414 By Matching Biggest Common Factor Method

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

Factors of 4414

List of positive integer factors of 4414 that divides 4414 without a remainder.

1,2,2207,4414

Greatest Common Factor

We found the factors 496,4414 . The biggest common factor number is the GCF number.
So the greatest common factor 496,4414 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 83/496, 4263/4414

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 83/496, 4263/4414?

Answer: LCM of Numerators as per given numbers 83/496, 4263/4414 is

LCM of Numerators i.e. for 83,4263 is 353829

GCF of denominators i.e. for 496,4414 is 2.

Thus, LCM of Fractions is 353829/2.Finally, LCM of Fractions for 83/496, 4263/4414 is 353829/2.