Least Common Multiple of 482/51, 238/9153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 482/51, 238/9153 quickly i.e. 57358/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 482/51, 238/9153 is 57358/3.

LCM(482/51, 238/9153) = 57358/3

LCM of 482/51, 238/9153

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 482/51,238/9153

Given numbers are 482/51,238/9153

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 482,238

Least Common Multiple of Numerators i.e. LCM of 482,238 is 57358.

GCF of Denominators means GCF of 51,9153 as per the given fractions.

GCF of 51,9153 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 482,238

LCM of Fractions 482/51,238/9153 is 57358/3

2 482, 238
241, 119

∴ So the LCM of the given numbers is 2 x 241 x 119 = 57358

Least Common Multiple of 482,238 with GCF Formula

Least Common Multiple of 482,238 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 482,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,238) = 2

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

GCF(482,238) x common factors =2 x 1 = 2

LCM(482,238) = ( 482 × 238 ) / 2

LCM(482,238) = 114716 / 2

LCM(482,238) = 57358


Lets's calculate GCF of 51,9153

3 51, 9153
17, 3051

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57358/3

Therefore the LCM of Fractions 482/51,238/9153 is 57358/3

Greatest Common Factor of 51,9153 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,9153 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 9153

List of positive integer factors of 9153 that divides 9153 without a remainder.

1,3,9,27,81,113,339,1017,3051,9153

Greatest Common Factor

We found the factors 51,9153 . The biggest common factor number is the GCF number.
So the greatest common factor 51,9153 is 3.


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 482/51, 238/9153

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 482/51, 238/9153?

Answer: LCM of Numerators as per given numbers 482/51, 238/9153 is

LCM of Numerators i.e. for 482,238 is 57358

GCF of denominators i.e. for 51,9153 is 3.

Thus, LCM of Fractions is 57358/3.Finally, LCM of Fractions for 482/51, 238/9153 is 57358/3.