Least Common Multiple of 496/24, 414/2086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/24, 414/2086 quickly i.e. 51336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/24, 414/2086 is 51336.

LCM(496/24, 414/2086) = 51336

LCM of 496/24, 414/2086

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 496/24,414/2086

Given numbers are 496/24,414/2086

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 496,414

Least Common Multiple of Numerators i.e. LCM of 496,414 is 102672.

GCF of Denominators means GCF of 24,2086 as per the given fractions.

GCF of 24,2086 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,414

LCM of Fractions 496/24,414/2086 is 51336

2 496, 414
248, 207

∴ So the LCM of the given numbers is 2 x 248 x 207 = 102672

Least Common Multiple of 496,414 with GCF Formula

Least Common Multiple of 496,414 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 496,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,414) = 2

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

GCF(496,414) x common factors =2 x 1 = 2

LCM(496,414) = ( 496 × 414 ) / 2

LCM(496,414) = 205344 / 2

LCM(496,414) = 102672


Lets's calculate GCF of 24,2086

2 24, 2086
12, 1043

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102672/2

Therefore the LCM of Fractions 496/24,414/2086 is 51336

Greatest Common Factor of 24,2086 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,2086 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 2086

List of positive integer factors of 2086 that divides 2086 without a remainder.

1,2,7,14,149,298,1043,2086

Greatest Common Factor

We found the factors 24,2086 . The biggest common factor number is the GCF number.
So the greatest common factor 24,2086 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 496/24, 414/2086

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 496/24, 414/2086?

Answer: LCM of Numerators as per given numbers 496/24, 414/2086 is

LCM of Numerators i.e. for 496,414 is 102672

GCF of denominators i.e. for 24,2086 is 2.

Thus, LCM of Fractions is 51336.Finally, LCM of Fractions for 496/24, 414/2086 is 51336.