Least Common Multiple of 434/89, 351/46, 520/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/89, 351/46, 520/906 quickly i.e. 3046680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/89, 351/46, 520/906 is 3046680.

LCM(434/89, 351/46, 520/906) = 3046680

LCM of 434/89, 351/46, 520/906

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 434/89,351/46,520/906

Given numbers are 434/89,351/46,520/906

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 434,351,520

Least Common Multiple of Numerators i.e. LCM of 434,351,520 is 3046680.

GCF of Denominators means GCF of 89,46,906 as per the given fractions.

GCF of 89,46,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,351,520

LCM of Fractions 434/89,351/46,520/906 is 3046680

2 434, 351, 520
13 217, 351, 260
217, 27, 20

∴ So the LCM of the given numbers is 2 x 13 x 217 x 27 x 20 = 3046680

Least Common Multiple of 434,351,520 with GCF Formula

Least Common Multiple of 434,351,520 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 434,351,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,351,520) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(434,351,520) x common factors =1 x 26 = 26

LCM(434,351,520) = ( 434 × 351 × 520 ) / 26

LCM(434,351,520) = 79213680 / 26

LCM(434,351,520) = 3046680


Lets's calculate GCF of 89,46,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3046680/1

Therefore the LCM of Fractions 434/89,351/46,520/906 is 3046680

Greatest Common Factor of 89,46,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,46,906 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 89,46,906 . The biggest common factor number is the GCF number.
So the greatest common factor 89,46,906 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 434/89, 351/46, 520/906

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 434/89, 351/46, 520/906?

Answer: LCM of Numerators as per given numbers 434/89, 351/46, 520/906 is

LCM of Numerators i.e. for 434,351,520 is 3046680

GCF of denominators i.e. for 89,46,906 is 1.

Thus, LCM of Fractions is 3046680.Finally, LCM of Fractions for 434/89, 351/46, 520/906 is 3046680.