Least Common Multiple of 469/12, 469/12, 435/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/12, 469/12, 435/438 quickly i.e. 204015/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/12, 469/12, 435/438 is 204015/6.

LCM(469/12, 469/12, 435/438) = 204015/6

LCM of 469/12, 469/12, 435/438

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 469/12,469/12,435/438

Given numbers are 469/12,469/12,435/438

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 469,469,435

Least Common Multiple of Numerators i.e. LCM of 469,469,435 is 204015.

GCF of Denominators means GCF of 12,12,438 as per the given fractions.

GCF of 12,12,438 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,469,435

LCM of Fractions 469/12,469/12,435/438 is 204015/6

7 469, 469, 435
67 67, 67, 435
1, 1, 435

∴ So the LCM of the given numbers is 7 x 67 x 1 x 1 x 435 = 204015

Least Common Multiple of 469,469,435 with GCF Formula

Least Common Multiple of 469,469,435 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 469,469,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,469,435) = 1

common factors(in case of two or more numbers have common factors) = 469

GCF(469,469,435) x common factors =1 x 469 = 469

LCM(469,469,435) = ( 469 × 469 × 435 ) / 469

LCM(469,469,435) = 95683035 / 469

LCM(469,469,435) = 204015


Lets's calculate GCF of 12,12,438

2 12, 12, 438
3 6, 6, 219
2, 2, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204015/6

Therefore the LCM of Fractions 469/12,469/12,435/438 is 204015/6

Greatest Common Factor of 12,12,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,12,438 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 12,12,438 . The biggest common factor number is the GCF number.
So the greatest common factor 12,12,438 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 469/12, 469/12, 435/438

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 469/12, 469/12, 435/438?

Answer: LCM of Numerators as per given numbers 469/12, 469/12, 435/438 is

LCM of Numerators i.e. for 469,469,435 is 204015

GCF of denominators i.e. for 12,12,438 is 6.

Thus, LCM of Fractions is 204015/6.Finally, LCM of Fractions for 469/12, 469/12, 435/438 is 204015/6.