Least Common Multiple of 16/849, 32/823, 989/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/849, 32/823, 989/912 quickly i.e. 31648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/849, 32/823, 989/912 is 31648.

LCM(16/849, 32/823, 989/912) = 31648

LCM of 16/849, 32/823, 989/912

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 16/849,32/823,989/912

Given numbers are 16/849,32/823,989/912

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 16,32,989

Least Common Multiple of Numerators i.e. LCM of 16,32,989 is 31648.

GCF of Denominators means GCF of 849,823,912 as per the given fractions.

GCF of 849,823,912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,32,989

LCM of Fractions 16/849,32/823,989/912 is 31648

2 16, 32, 989
2 8, 16, 989
2 4, 8, 989
2 2, 4, 989
1, 2, 989

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 2 x 989 = 31648

Least Common Multiple of 16,32,989 with GCF Formula

Least Common Multiple of 16,32,989 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 16,32,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,32,989) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(16,32,989) x common factors =1 x 16 = 16

LCM(16,32,989) = ( 16 × 32 × 989 ) / 16

LCM(16,32,989) = 506368 / 16

LCM(16,32,989) = 31648


Lets's calculate GCF of 849,823,912

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31648/1

Therefore the LCM of Fractions 16/849,32/823,989/912 is 31648

Greatest Common Factor of 849,823,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,823,912 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 849,823,912 . The biggest common factor number is the GCF number.
So the greatest common factor 849,823,912 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 16/849, 32/823, 989/912

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 16/849, 32/823, 989/912?

Answer: LCM of Numerators as per given numbers 16/849, 32/823, 989/912 is

LCM of Numerators i.e. for 16,32,989 is 31648

GCF of denominators i.e. for 849,823,912 is 1.

Thus, LCM of Fractions is 31648.Finally, LCM of Fractions for 16/849, 32/823, 989/912 is 31648.