Least Common Multiple of 102/482, 2384/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/482, 2384/350 quickly i.e. 60792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/482, 2384/350 is 60792.

LCM(102/482, 2384/350) = 60792

LCM of 102/482, 2384/350

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 102/482,2384/350

Given numbers are 102/482,2384/350

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 102,2384

Least Common Multiple of Numerators i.e. LCM of 102,2384 is 121584.

GCF of Denominators means GCF of 482,350 as per the given fractions.

GCF of 482,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,2384

LCM of Fractions 102/482,2384/350 is 60792

2 102, 2384
51, 1192

∴ So the LCM of the given numbers is 2 x 51 x 1192 = 121584

Least Common Multiple of 102,2384 with GCF Formula

Least Common Multiple of 102,2384 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 102,2384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,2384) = 2

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

GCF(102,2384) x common factors =2 x 1 = 2

LCM(102,2384) = ( 102 × 2384 ) / 2

LCM(102,2384) = 243168 / 2

LCM(102,2384) = 121584


Lets's calculate GCF of 482,350

2 482, 350
241, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121584/2

Therefore the LCM of Fractions 102/482,2384/350 is 60792

Greatest Common Factor of 482,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,350 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 482,350 . The biggest common factor number is the GCF number.
So the greatest common factor 482,350 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 102/482, 2384/350

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 102/482, 2384/350?

Answer: LCM of Numerators as per given numbers 102/482, 2384/350 is

LCM of Numerators i.e. for 102,2384 is 121584

GCF of denominators i.e. for 482,350 is 2.

Thus, LCM of Fractions is 60792.Finally, LCM of Fractions for 102/482, 2384/350 is 60792.