Least Common Multiple of 27/16, 776/28, 669/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/16, 776/28, 669/889 quickly i.e. 4672296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/16, 776/28, 669/889 is 4672296.

LCM(27/16, 776/28, 669/889) = 4672296

LCM of 27/16, 776/28, 669/889

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 27/16,776/28,669/889

Given numbers are 27/16,776/28,669/889

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 27,776,669

Least Common Multiple of Numerators i.e. LCM of 27,776,669 is 4672296.

GCF of Denominators means GCF of 16,28,889 as per the given fractions.

GCF of 16,28,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,776,669

LCM of Fractions 27/16,776/28,669/889 is 4672296

3 27, 776, 669
9, 776, 223

∴ So the LCM of the given numbers is 3 x 9 x 776 x 223 = 4672296

Least Common Multiple of 27,776,669 with GCF Formula

Least Common Multiple of 27,776,669 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 27,776,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,776,669) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,776,669) x common factors =1 x 3 = 3

LCM(27,776,669) = ( 27 × 776 × 669 ) / 3

LCM(27,776,669) = 14016888 / 3

LCM(27,776,669) = 4672296


Lets's calculate GCF of 16,28,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4672296/1

Therefore the LCM of Fractions 27/16,776/28,669/889 is 4672296

Greatest Common Factor of 16,28,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,28,889 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 16,28,889 . The biggest common factor number is the GCF number.
So the greatest common factor 16,28,889 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 27/16, 776/28, 669/889

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 27/16, 776/28, 669/889?

Answer: LCM of Numerators as per given numbers 27/16, 776/28, 669/889 is

LCM of Numerators i.e. for 27,776,669 is 4672296

GCF of denominators i.e. for 16,28,889 is 1.

Thus, LCM of Fractions is 4672296.Finally, LCM of Fractions for 27/16, 776/28, 669/889 is 4672296.