Least Common Multiple of 969/16, 817/3891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/16, 817/3891 quickly i.e. 41667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/16, 817/3891 is 41667.

LCM(969/16, 817/3891) = 41667

LCM of 969/16, 817/3891

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 969/16,817/3891

Given numbers are 969/16,817/3891

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 969,817

Least Common Multiple of Numerators i.e. LCM of 969,817 is 41667.

GCF of Denominators means GCF of 16,3891 as per the given fractions.

GCF of 16,3891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,817

LCM of Fractions 969/16,817/3891 is 41667

19 969, 817
51, 43

∴ So the LCM of the given numbers is 19 x 51 x 43 = 41667

Least Common Multiple of 969,817 with GCF Formula

Least Common Multiple of 969,817 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 969,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,817) = 19

common factors(in case of two or more numbers have common factors) = 1

GCF(969,817) x common factors =19 x 1 = 19

LCM(969,817) = ( 969 × 817 ) / 19

LCM(969,817) = 791673 / 19

LCM(969,817) = 41667


Lets's calculate GCF of 16,3891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41667/1

Therefore the LCM of Fractions 969/16,817/3891 is 41667

Greatest Common Factor of 16,3891 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,3891 By Matching Biggest Common Factor Method

Factors of 16

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

1,2,4,8,16

Factors of 3891

List of positive integer factors of 3891 that divides 3891 without a remainder.

1,3,1297,3891

Greatest Common Factor

We found the factors 16,3891 . The biggest common factor number is the GCF number.
So the greatest common factor 16,3891 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 969/16, 817/3891

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 969/16, 817/3891?

Answer: LCM of Numerators as per given numbers 969/16, 817/3891 is

LCM of Numerators i.e. for 969,817 is 41667

GCF of denominators i.e. for 16,3891 is 1.

Thus, LCM of Fractions is 41667.Finally, LCM of Fractions for 969/16, 817/3891 is 41667.