Least Common Multiple of 34/317, 438/360, 844/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/317, 438/360, 844/908 quickly i.e. 3142212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/317, 438/360, 844/908 is 3142212.

LCM(34/317, 438/360, 844/908) = 3142212

LCM of 34/317, 438/360, 844/908

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 34/317,438/360,844/908

Given numbers are 34/317,438/360,844/908

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 34,438,844

Least Common Multiple of Numerators i.e. LCM of 34,438,844 is 3142212.

GCF of Denominators means GCF of 317,360,908 as per the given fractions.

GCF of 317,360,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,438,844

LCM of Fractions 34/317,438/360,844/908 is 3142212

2 34, 438, 844
17, 219, 422

∴ So the LCM of the given numbers is 2 x 17 x 219 x 422 = 3142212

Least Common Multiple of 34,438,844 with GCF Formula

Least Common Multiple of 34,438,844 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 34,438,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,438,844) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,438,844) x common factors =2 x 2 = 4

LCM(34,438,844) = ( 34 × 438 × 844 ) / 4

LCM(34,438,844) = 12568848 / 4

LCM(34,438,844) = 3142212


Lets's calculate GCF of 317,360,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3142212/1

Therefore the LCM of Fractions 34/317,438/360,844/908 is 3142212

Greatest Common Factor of 317,360,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,360,908 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 317,360,908 . The biggest common factor number is the GCF number.
So the greatest common factor 317,360,908 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 34/317, 438/360, 844/908

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 34/317, 438/360, 844/908?

Answer: LCM of Numerators as per given numbers 34/317, 438/360, 844/908 is

LCM of Numerators i.e. for 34,438,844 is 3142212

GCF of denominators i.e. for 317,360,908 is 1.

Thus, LCM of Fractions is 3142212.Finally, LCM of Fractions for 34/317, 438/360, 844/908 is 3142212.