Least Common Multiple of 474/338, 414/715, 129/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 474/338, 414/715, 129/436 quickly i.e. 1406358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/338, 414/715, 129/436 is 1406358.

LCM(474/338, 414/715, 129/436) = 1406358

LCM of 474/338, 414/715, 129/436

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 474/338,414/715,129/436

Given numbers are 474/338,414/715,129/436

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 474,414,129

Least Common Multiple of Numerators i.e. LCM of 474,414,129 is 1406358.

GCF of Denominators means GCF of 338,715,436 as per the given fractions.

GCF of 338,715,436 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,414,129

LCM of Fractions 474/338,414/715,129/436 is 1406358

2 474, 414, 129
3 237, 207, 129
79, 69, 43

∴ So the LCM of the given numbers is 2 x 3 x 79 x 69 x 43 = 1406358

Least Common Multiple of 474,414,129 with GCF Formula

Least Common Multiple of 474,414,129 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 474,414,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,414,129) = 3

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

GCF(474,414,129) x common factors =3 x 6 = 18

LCM(474,414,129) = ( 474 × 414 × 129 ) / 18

LCM(474,414,129) = 25314444 / 18

LCM(474,414,129) = 1406358


Lets's calculate GCF of 338,715,436

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1406358/1

Therefore the LCM of Fractions 474/338,414/715,129/436 is 1406358

Greatest Common Factor of 338,715,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,715,436 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 338,715,436 . The biggest common factor number is the GCF number.
So the greatest common factor 338,715,436 is 1.


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 474/338, 414/715, 129/436

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 474/338, 414/715, 129/436?

Answer: LCM of Numerators as per given numbers 474/338, 414/715, 129/436 is

LCM of Numerators i.e. for 474,414,129 is 1406358

GCF of denominators i.e. for 338,715,436 is 1.

Thus, LCM of Fractions is 1406358.Finally, LCM of Fractions for 474/338, 414/715, 129/436 is 1406358.