Least Common Multiple of 338/19, 871/97, 670/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/19, 871/97, 670/16 quickly i.e. 113230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/19, 871/97, 670/16 is 113230.

LCM(338/19, 871/97, 670/16) = 113230

LCM of 338/19, 871/97, 670/16

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 338/19,871/97,670/16

Given numbers are 338/19,871/97,670/16

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 338,871,670

Least Common Multiple of Numerators i.e. LCM of 338,871,670 is 113230.

GCF of Denominators means GCF of 19,97,16 as per the given fractions.

GCF of 19,97,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,871,670

LCM of Fractions 338/19,871/97,670/16 is 113230

2 338, 871, 670
13 169, 871, 335
67 13, 67, 335
13, 1, 5

∴ So the LCM of the given numbers is 2 x 13 x 67 x 13 x 1 x 5 = 113230

Least Common Multiple of 338,871,670 with GCF Formula

Least Common Multiple of 338,871,670 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 338,871,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,871,670) = 1

common factors(in case of two or more numbers have common factors) = 1742

GCF(338,871,670) x common factors =1 x 1742 = 1742

LCM(338,871,670) = ( 338 × 871 × 670 ) / 1742

LCM(338,871,670) = 197246660 / 1742

LCM(338,871,670) = 113230


Lets's calculate GCF of 19,97,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113230/1

Therefore the LCM of Fractions 338/19,871/97,670/16 is 113230

Greatest Common Factor of 19,97,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,97,16 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 19,97,16 . The biggest common factor number is the GCF number.
So the greatest common factor 19,97,16 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 338/19, 871/97, 670/16

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 338/19, 871/97, 670/16?

Answer: LCM of Numerators as per given numbers 338/19, 871/97, 670/16 is

LCM of Numerators i.e. for 338,871,670 is 113230

GCF of denominators i.e. for 19,97,16 is 1.

Thus, LCM of Fractions is 113230.Finally, LCM of Fractions for 338/19, 871/97, 670/16 is 113230.