Least Common Multiple of 34/900, 28/246, 349/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/900, 28/246, 349/314 quickly i.e. 83062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/900, 28/246, 349/314 is 83062.

LCM(34/900, 28/246, 349/314) = 83062

LCM of 34/900, 28/246, 349/314

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 34/900,28/246,349/314

Given numbers are 34/900,28/246,349/314

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 34,28,349

Least Common Multiple of Numerators i.e. LCM of 34,28,349 is 166124.

GCF of Denominators means GCF of 900,246,314 as per the given fractions.

GCF of 900,246,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,28,349

LCM of Fractions 34/900,28/246,349/314 is 83062

2 34, 28, 349
17, 14, 349

∴ So the LCM of the given numbers is 2 x 17 x 14 x 349 = 166124

Least Common Multiple of 34,28,349 with GCF Formula

Least Common Multiple of 34,28,349 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 34,28,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,28,349) = 1

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

GCF(34,28,349) x common factors =1 x 2 = 2

LCM(34,28,349) = ( 34 × 28 × 349 ) / 2

LCM(34,28,349) = 332248 / 2

LCM(34,28,349) = 166124


Lets's calculate GCF of 900,246,314

2 900, 246, 314
450, 123, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166124/2

Therefore the LCM of Fractions 34/900,28/246,349/314 is 83062

Greatest Common Factor of 900,246,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,246,314 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 900,246,314 . The biggest common factor number is the GCF number.
So the greatest common factor 900,246,314 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 34/900, 28/246, 349/314

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 34/900, 28/246, 349/314?

Answer: LCM of Numerators as per given numbers 34/900, 28/246, 349/314 is

LCM of Numerators i.e. for 34,28,349 is 166124

GCF of denominators i.e. for 900,246,314 is 2.

Thus, LCM of Fractions is 83062.Finally, LCM of Fractions for 34/900, 28/246, 349/314 is 83062.