Least Common Multiple of 38/714, 247/660, 496/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/714, 247/660, 496/246 quickly i.e. 122512/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/714, 247/660, 496/246 is 122512/6.

LCM(38/714, 247/660, 496/246) = 122512/6

LCM of 38/714, 247/660, 496/246

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 38/714,247/660,496/246

Given numbers are 38/714,247/660,496/246

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 38,247,496

Least Common Multiple of Numerators i.e. LCM of 38,247,496 is 122512.

GCF of Denominators means GCF of 714,660,246 as per the given fractions.

GCF of 714,660,246 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,247,496

LCM of Fractions 38/714,247/660,496/246 is 122512/6

2 38, 247, 496
19 19, 247, 248
1, 13, 248

∴ So the LCM of the given numbers is 2 x 19 x 1 x 13 x 248 = 122512

Least Common Multiple of 38,247,496 with GCF Formula

Least Common Multiple of 38,247,496 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 38,247,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,247,496) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(38,247,496) x common factors =1 x 38 = 38

LCM(38,247,496) = ( 38 × 247 × 496 ) / 38

LCM(38,247,496) = 4655456 / 38

LCM(38,247,496) = 122512


Lets's calculate GCF of 714,660,246

2 714, 660, 246
3 357, 330, 123
119, 110, 41

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122512/6

Therefore the LCM of Fractions 38/714,247/660,496/246 is 122512/6

Greatest Common Factor of 714,660,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,660,246 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 714,660,246 . The biggest common factor number is the GCF number.
So the greatest common factor 714,660,246 is 6.


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 38/714, 247/660, 496/246

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 38/714, 247/660, 496/246?

Answer: LCM of Numerators as per given numbers 38/714, 247/660, 496/246 is

LCM of Numerators i.e. for 38,247,496 is 122512

GCF of denominators i.e. for 714,660,246 is 6.

Thus, LCM of Fractions is 122512/6.Finally, LCM of Fractions for 38/714, 247/660, 496/246 is 122512/6.