Least Common Multiple of 13/216, 812/336, 469/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/216, 812/336, 469/486 quickly i.e. 707252/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/216, 812/336, 469/486 is 707252/6.

LCM(13/216, 812/336, 469/486) = 707252/6

LCM of 13/216, 812/336, 469/486

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 13/216,812/336,469/486

Given numbers are 13/216,812/336,469/486

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 13,812,469

Least Common Multiple of Numerators i.e. LCM of 13,812,469 is 707252.

GCF of Denominators means GCF of 216,336,486 as per the given fractions.

GCF of 216,336,486 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,812,469

LCM of Fractions 13/216,812/336,469/486 is 707252/6

7 13, 812, 469
13, 116, 67

∴ So the LCM of the given numbers is 7 x 13 x 116 x 67 = 707252

Least Common Multiple of 13,812,469 with GCF Formula

Least Common Multiple of 13,812,469 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 13,812,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,812,469) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(13,812,469) x common factors =1 x 7 = 7

LCM(13,812,469) = ( 13 × 812 × 469 ) / 7

LCM(13,812,469) = 4950764 / 7

LCM(13,812,469) = 707252


Lets's calculate GCF of 216,336,486

2 216, 336, 486
3 108, 168, 243
36, 56, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 707252/6

Therefore the LCM of Fractions 13/216,812/336,469/486 is 707252/6

Greatest Common Factor of 216,336,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,336,486 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 216,336,486 . The biggest common factor number is the GCF number.
So the greatest common factor 216,336,486 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 13/216, 812/336, 469/486

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 13/216, 812/336, 469/486?

Answer: LCM of Numerators as per given numbers 13/216, 812/336, 469/486 is

LCM of Numerators i.e. for 13,812,469 is 707252

GCF of denominators i.e. for 216,336,486 is 6.

Thus, LCM of Fractions is 707252/6.Finally, LCM of Fractions for 13/216, 812/336, 469/486 is 707252/6.