Least Common Multiple of 41/434, 81/914, 216/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/434, 81/914, 216/134 quickly i.e. 13284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/434, 81/914, 216/134 is 13284.

LCM(41/434, 81/914, 216/134) = 13284

LCM of 41/434, 81/914, 216/134

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 41/434,81/914,216/134

Given numbers are 41/434,81/914,216/134

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 41,81,216

Least Common Multiple of Numerators i.e. LCM of 41,81,216 is 26568.

GCF of Denominators means GCF of 434,914,134 as per the given fractions.

GCF of 434,914,134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,81,216

LCM of Fractions 41/434,81/914,216/134 is 13284

3 41, 81, 216
3 41, 27, 72
3 41, 9, 24
41, 3, 8

∴ So the LCM of the given numbers is 3 x 3 x 3 x 41 x 3 x 8 = 26568

Least Common Multiple of 41,81,216 with GCF Formula

Least Common Multiple of 41,81,216 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 41,81,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,81,216) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(41,81,216) x common factors =1 x 27 = 27

LCM(41,81,216) = ( 41 × 81 × 216 ) / 27

LCM(41,81,216) = 717336 / 27

LCM(41,81,216) = 26568


Lets's calculate GCF of 434,914,134

2 434, 914, 134
217, 457, 67

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26568/2

Therefore the LCM of Fractions 41/434,81/914,216/134 is 13284

Greatest Common Factor of 434,914,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,914,134 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 434,914,134 . The biggest common factor number is the GCF number.
So the greatest common factor 434,914,134 is 2.


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 41/434, 81/914, 216/134

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 41/434, 81/914, 216/134?

Answer: LCM of Numerators as per given numbers 41/434, 81/914, 216/134 is

LCM of Numerators i.e. for 41,81,216 is 26568

GCF of denominators i.e. for 434,914,134 is 2.

Thus, LCM of Fractions is 13284.Finally, LCM of Fractions for 41/434, 81/914, 216/134 is 13284.