Least Common Multiple of 382/30, 238/65, 538/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/30, 238/65, 538/748 quickly i.e. 12228202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/30, 238/65, 538/748 is 12228202.

LCM(382/30, 238/65, 538/748) = 12228202

LCM of 382/30, 238/65, 538/748

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 382/30,238/65,538/748

Given numbers are 382/30,238/65,538/748

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 382,238,538

Least Common Multiple of Numerators i.e. LCM of 382,238,538 is 12228202.

GCF of Denominators means GCF of 30,65,748 as per the given fractions.

GCF of 30,65,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,238,538

LCM of Fractions 382/30,238/65,538/748 is 12228202

2 382, 238, 538
191, 119, 269

∴ So the LCM of the given numbers is 2 x 191 x 119 x 269 = 12228202

Least Common Multiple of 382,238,538 with GCF Formula

Least Common Multiple of 382,238,538 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 382,238,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,238,538) = 2

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

GCF(382,238,538) x common factors =2 x 2 = 4

LCM(382,238,538) = ( 382 × 238 × 538 ) / 4

LCM(382,238,538) = 48912808 / 4

LCM(382,238,538) = 12228202


Lets's calculate GCF of 30,65,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12228202/1

Therefore the LCM of Fractions 382/30,238/65,538/748 is 12228202

Greatest Common Factor of 30,65,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,65,748 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 30,65,748 . The biggest common factor number is the GCF number.
So the greatest common factor 30,65,748 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 382/30, 238/65, 538/748

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 382/30, 238/65, 538/748?

Answer: LCM of Numerators as per given numbers 382/30, 238/65, 538/748 is

LCM of Numerators i.e. for 382,238,538 is 12228202

GCF of denominators i.e. for 30,65,748 is 1.

Thus, LCM of Fractions is 12228202.Finally, LCM of Fractions for 382/30, 238/65, 538/748 is 12228202.