Least Common Multiple of 39/272, 610/464, 221/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/272, 610/464, 221/496 quickly i.e. 404430/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/272, 610/464, 221/496 is 404430/16.

LCM(39/272, 610/464, 221/496) = 404430/16

LCM of 39/272, 610/464, 221/496

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 39/272,610/464,221/496

Given numbers are 39/272,610/464,221/496

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 39,610,221

Least Common Multiple of Numerators i.e. LCM of 39,610,221 is 404430.

GCF of Denominators means GCF of 272,464,496 as per the given fractions.

GCF of 272,464,496 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,610,221

LCM of Fractions 39/272,610/464,221/496 is 404430/16

13 39, 610, 221
3, 610, 17

∴ So the LCM of the given numbers is 13 x 3 x 610 x 17 = 404430

Least Common Multiple of 39,610,221 with GCF Formula

Least Common Multiple of 39,610,221 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 39,610,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,610,221) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(39,610,221) x common factors =1 x 13 = 13

LCM(39,610,221) = ( 39 × 610 × 221 ) / 13

LCM(39,610,221) = 5257590 / 13

LCM(39,610,221) = 404430


Lets's calculate GCF of 272,464,496

2 272, 464, 496
2 136, 232, 248
2 68, 116, 124
2 34, 58, 62
17, 29, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404430/16

Therefore the LCM of Fractions 39/272,610/464,221/496 is 404430/16

Greatest Common Factor of 272,464,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,464,496 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 272,464,496 . The biggest common factor number is the GCF number.
So the greatest common factor 272,464,496 is 16.


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 39/272, 610/464, 221/496

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 39/272, 610/464, 221/496?

Answer: LCM of Numerators as per given numbers 39/272, 610/464, 221/496 is

LCM of Numerators i.e. for 39,610,221 is 404430

GCF of denominators i.e. for 272,464,496 is 16.

Thus, LCM of Fractions is 404430/16.Finally, LCM of Fractions for 39/272, 610/464, 221/496 is 404430/16.