Least Common Multiple of 470/987, 996/357, 927/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/987, 996/357, 927/327 quickly i.e. 24108180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/987, 996/357, 927/327 is 24108180.

LCM(470/987, 996/357, 927/327) = 24108180

LCM of 470/987, 996/357, 927/327

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 470/987,996/357,927/327

Given numbers are 470/987,996/357,927/327

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 470,996,927

Least Common Multiple of Numerators i.e. LCM of 470,996,927 is 72324540.

GCF of Denominators means GCF of 987,357,327 as per the given fractions.

GCF of 987,357,327 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,996,927

LCM of Fractions 470/987,996/357,927/327 is 24108180

2 470, 996, 927
3 235, 498, 927
235, 166, 309

∴ So the LCM of the given numbers is 2 x 3 x 235 x 166 x 309 = 72324540

Least Common Multiple of 470,996,927 with GCF Formula

Least Common Multiple of 470,996,927 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 470,996,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,996,927) = 1

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

GCF(470,996,927) x common factors =1 x 6 = 6

LCM(470,996,927) = ( 470 × 996 × 927 ) / 6

LCM(470,996,927) = 433947240 / 6

LCM(470,996,927) = 72324540


Lets's calculate GCF of 987,357,327

3 987, 357, 327
329, 119, 109

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72324540/3

Therefore the LCM of Fractions 470/987,996/357,927/327 is 24108180

Greatest Common Factor of 987,357,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,357,327 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 987,357,327 . The biggest common factor number is the GCF number.
So the greatest common factor 987,357,327 is 3.


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 470/987, 996/357, 927/327

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 470/987, 996/357, 927/327?

Answer: LCM of Numerators as per given numbers 470/987, 996/357, 927/327 is

LCM of Numerators i.e. for 470,996,927 is 72324540

GCF of denominators i.e. for 987,357,327 is 3.

Thus, LCM of Fractions is 24108180.Finally, LCM of Fractions for 470/987, 996/357, 927/327 is 24108180.