Least Common Multiple of 338/416, 8514/4634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/416, 8514/4634 quickly i.e. 719433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/416, 8514/4634 is 719433.

LCM(338/416, 8514/4634) = 719433

LCM of 338/416, 8514/4634

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 338/416,8514/4634

Given numbers are 338/416,8514/4634

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 338,8514

Least Common Multiple of Numerators i.e. LCM of 338,8514 is 1438866.

GCF of Denominators means GCF of 416,4634 as per the given fractions.

GCF of 416,4634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,8514

LCM of Fractions 338/416,8514/4634 is 719433

2 338, 8514
169, 4257

∴ So the LCM of the given numbers is 2 x 169 x 4257 = 1438866

Least Common Multiple of 338,8514 with GCF Formula

Least Common Multiple of 338,8514 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 338,8514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,8514) = 2

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

GCF(338,8514) x common factors =2 x 1 = 2

LCM(338,8514) = ( 338 × 8514 ) / 2

LCM(338,8514) = 2877732 / 2

LCM(338,8514) = 1438866


Lets's calculate GCF of 416,4634

2 416, 4634
208, 2317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1438866/2

Therefore the LCM of Fractions 338/416,8514/4634 is 719433

Greatest Common Factor of 416,4634 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,4634 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1,2,7,14,331,662,2317,4634

Greatest Common Factor

We found the factors 416,4634 . The biggest common factor number is the GCF number.
So the greatest common factor 416,4634 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 338/416, 8514/4634

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 338/416, 8514/4634?

Answer: LCM of Numerators as per given numbers 338/416, 8514/4634 is

LCM of Numerators i.e. for 338,8514 is 1438866

GCF of denominators i.e. for 416,4634 is 2.

Thus, LCM of Fractions is 719433.Finally, LCM of Fractions for 338/416, 8514/4634 is 719433.