Least Common Multiple of 424/214, 8613/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/214, 8613/813 quickly i.e. 3651912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/214, 8613/813 is 3651912.

LCM(424/214, 8613/813) = 3651912

LCM of 424/214, 8613/813

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 424/214,8613/813

Given numbers are 424/214,8613/813

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 424,8613

Least Common Multiple of Numerators i.e. LCM of 424,8613 is 3651912.

GCF of Denominators means GCF of 214,813 as per the given fractions.

GCF of 214,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,8613

LCM of Fractions 424/214,8613/813 is 3651912

Given numbers has no common factors except 1. So, there LCM is their product i.e 3651912

Least Common Multiple of 424,8613 with GCF Formula

Least Common Multiple of 424,8613 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 424,8613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,8613) = 1

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

GCF(424,8613) x common factors =1 x 1 = 1

LCM(424,8613) = ( 424 × 8613 ) / 1

LCM(424,8613) = 3651912 / 1

LCM(424,8613) = 3651912


Lets's calculate GCF of 214,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3651912/1

Therefore the LCM of Fractions 424/214,8613/813 is 3651912

Greatest Common Factor of 214,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,813 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 214,813 . The biggest common factor number is the GCF number.
So the greatest common factor 214,813 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 424/214, 8613/813

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 424/214, 8613/813?

Answer: LCM of Numerators as per given numbers 424/214, 8613/813 is

LCM of Numerators i.e. for 424,8613 is 3651912

GCF of denominators i.e. for 214,813 is 1.

Thus, LCM of Fractions is 3651912.Finally, LCM of Fractions for 424/214, 8613/813 is 3651912.