Least Common Multiple of 39/33, 132/75, 490/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/33, 132/75, 490/248 quickly i.e. 420420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/33, 132/75, 490/248 is 420420.

LCM(39/33, 132/75, 490/248) = 420420

LCM of 39/33, 132/75, 490/248

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 39/33,132/75,490/248

Given numbers are 39/33,132/75,490/248

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 39,132,490

Least Common Multiple of Numerators i.e. LCM of 39,132,490 is 420420.

GCF of Denominators means GCF of 33,75,248 as per the given fractions.

GCF of 33,75,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,132,490

LCM of Fractions 39/33,132/75,490/248 is 420420

2 39, 132, 490
3 39, 66, 245
13, 22, 245

∴ So the LCM of the given numbers is 2 x 3 x 13 x 22 x 245 = 420420

Least Common Multiple of 39,132,490 with GCF Formula

Least Common Multiple of 39,132,490 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 39,132,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,132,490) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(39,132,490) x common factors =1 x 6 = 6

LCM(39,132,490) = ( 39 × 132 × 490 ) / 6

LCM(39,132,490) = 2522520 / 6

LCM(39,132,490) = 420420


Lets's calculate GCF of 33,75,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420420/1

Therefore the LCM of Fractions 39/33,132/75,490/248 is 420420

Greatest Common Factor of 33,75,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,75,248 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 33,75,248 . The biggest common factor number is the GCF number.
So the greatest common factor 33,75,248 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 39/33, 132/75, 490/248

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 39/33, 132/75, 490/248?

Answer: LCM of Numerators as per given numbers 39/33, 132/75, 490/248 is

LCM of Numerators i.e. for 39,132,490 is 420420

GCF of denominators i.e. for 33,75,248 is 1.

Thus, LCM of Fractions is 420420.Finally, LCM of Fractions for 39/33, 132/75, 490/248 is 420420.