Least Common Multiple of 1491/382, 9038/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1491/382, 9038/337 quickly i.e. 13475658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1491/382, 9038/337 is 13475658.

LCM(1491/382, 9038/337) = 13475658

LCM of 1491/382, 9038/337

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 1491/382,9038/337

Given numbers are 1491/382,9038/337

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 1491,9038

Least Common Multiple of Numerators i.e. LCM of 1491,9038 is 13475658.

GCF of Denominators means GCF of 382,337 as per the given fractions.

GCF of 382,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1491,9038

LCM of Fractions 1491/382,9038/337 is 13475658

Given numbers has no common factors except 1. So, there LCM is their product i.e 13475658

Least Common Multiple of 1491,9038 with GCF Formula

Least Common Multiple of 1491,9038 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 1491,9038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1491,9038) = 1

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

GCF(1491,9038) x common factors =1 x 1 = 1

LCM(1491,9038) = ( 1491 × 9038 ) / 1

LCM(1491,9038) = 13475658 / 1

LCM(1491,9038) = 13475658


Lets's calculate GCF of 382,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13475658/1

Therefore the LCM of Fractions 1491/382,9038/337 is 13475658

Greatest Common Factor of 382,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,337 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 382,337 . The biggest common factor number is the GCF number.
So the greatest common factor 382,337 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1491/382, 9038/337

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 1491/382, 9038/337?

Answer: LCM of Numerators as per given numbers 1491/382, 9038/337 is

LCM of Numerators i.e. for 1491,9038 is 13475658

GCF of denominators i.e. for 382,337 is 1.

Thus, LCM of Fractions is 13475658.Finally, LCM of Fractions for 1491/382, 9038/337 is 13475658.