Least Common Multiple of 382/43, 506/98, 768/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/43, 506/98, 768/259 quickly i.e. 37112064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/43, 506/98, 768/259 is 37112064.

LCM(382/43, 506/98, 768/259) = 37112064

LCM of 382/43, 506/98, 768/259

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 382/43,506/98,768/259

Given numbers are 382/43,506/98,768/259

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 382,506,768

Least Common Multiple of Numerators i.e. LCM of 382,506,768 is 37112064.

GCF of Denominators means GCF of 43,98,259 as per the given fractions.

GCF of 43,98,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,506,768

LCM of Fractions 382/43,506/98,768/259 is 37112064

2 382, 506, 768
191, 253, 384

∴ So the LCM of the given numbers is 2 x 191 x 253 x 384 = 37112064

Least Common Multiple of 382,506,768 with GCF Formula

Least Common Multiple of 382,506,768 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 382,506,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,506,768) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(382,506,768) x common factors =2 x 2 = 4

LCM(382,506,768) = ( 382 × 506 × 768 ) / 4

LCM(382,506,768) = 148448256 / 4

LCM(382,506,768) = 37112064


Lets's calculate GCF of 43,98,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37112064/1

Therefore the LCM of Fractions 382/43,506/98,768/259 is 37112064

Greatest Common Factor of 43,98,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,98,259 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 43,98,259 . The biggest common factor number is the GCF number.
So the greatest common factor 43,98,259 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 382/43, 506/98, 768/259

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 382/43, 506/98, 768/259?

Answer: LCM of Numerators as per given numbers 382/43, 506/98, 768/259 is

LCM of Numerators i.e. for 382,506,768 is 37112064

GCF of denominators i.e. for 43,98,259 is 1.

Thus, LCM of Fractions is 37112064.Finally, LCM of Fractions for 382/43, 506/98, 768/259 is 37112064.