Least Common Multiple of 38/33, 49/91, 51/19, 51/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/33, 49/91, 51/19, 51/489 quickly i.e. 94962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/33, 49/91, 51/19, 51/489 is 94962.

LCM(38/33, 49/91, 51/19, 51/489) = 94962

LCM of 38/33, 49/91, 51/19, 51/489

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 38/33,49/91,51/19,51/489

Given numbers are 38/33,49/91,51/19,51/489

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 38,49,51,51

Least Common Multiple of Numerators i.e. LCM of 38,49,51,51 is 94962.

GCF of Denominators means GCF of 33,91,19,489 as per the given fractions.

GCF of 33,91,19,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,49,51,51

LCM of Fractions 38/33,49/91,51/19,51/489 is 94962

3 38, 49, 51, 51
17 38, 49, 17, 17
38, 49, 1, 1

∴ So the LCM of the given numbers is 3 x 17 x 38 x 49 x 1 x 1 = 94962

Least Common Multiple of 38,49,51,51 with GCF Formula

Least Common Multiple of 38,49,51,51 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 38,49,51,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,49,51,51) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(38,49,51,51) x common factors =1 x 51 = 51

LCM(38,49,51,51) = ( 38 × 49 × 51 × 51 ) / 51

LCM(38,49,51,51) = 4843062 / 51

LCM(38,49,51,51) = 94962


Lets's calculate GCF of 33,91,19,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94962/1

Therefore the LCM of Fractions 38/33,49/91,51/19,51/489 is 94962

Greatest Common Factor of 33,91,19,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,91,19,489 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 33,91,19,489 . The biggest common factor number is the GCF number.
So the greatest common factor 33,91,19,489 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 38/33, 49/91, 51/19, 51/489

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 38/33, 49/91, 51/19, 51/489?

Answer: LCM of Numerators as per given numbers 38/33, 49/91, 51/19, 51/489 is

LCM of Numerators i.e. for 38,49,51,51 is 94962

GCF of denominators i.e. for 33,91,19,489 is 1.

Thus, LCM of Fractions is 94962.Finally, LCM of Fractions for 38/33, 49/91, 51/19, 51/489 is 94962.