Least Common Multiple of 844/20, 647/16, 989/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 844/20, 647/16, 989/270 quickly i.e. 270030626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/20, 647/16, 989/270 is 270030626.

LCM(844/20, 647/16, 989/270) = 270030626

LCM of 844/20, 647/16, 989/270

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 844/20,647/16,989/270

Given numbers are 844/20,647/16,989/270

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 844,647,989

Least Common Multiple of Numerators i.e. LCM of 844,647,989 is 540061252.

GCF of Denominators means GCF of 20,16,270 as per the given fractions.

GCF of 20,16,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,647,989

LCM of Fractions 844/20,647/16,989/270 is 270030626

Given numbers has no common factors except 1. So, there LCM is their product i.e 540061252

Least Common Multiple of 844,647,989 with GCF Formula

Least Common Multiple of 844,647,989 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 844,647,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,647,989) = 1

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

GCF(844,647,989) x common factors =1 x 1 = 1

LCM(844,647,989) = ( 844 × 647 × 989 ) / 1

LCM(844,647,989) = 540061252 / 1

LCM(844,647,989) = 540061252


Lets's calculate GCF of 20,16,270

2 20, 16, 270
10, 8, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540061252/2

Therefore the LCM of Fractions 844/20,647/16,989/270 is 270030626

Greatest Common Factor of 20,16,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,16,270 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 16

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

1,2,4,8,16

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 20,16,270 . The biggest common factor number is the GCF number.
So the greatest common factor 20,16,270 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 844/20, 647/16, 989/270

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 844/20, 647/16, 989/270?

Answer: LCM of Numerators as per given numbers 844/20, 647/16, 989/270 is

LCM of Numerators i.e. for 844,647,989 is 540061252

GCF of denominators i.e. for 20,16,270 is 2.

Thus, LCM of Fractions is 270030626.Finally, LCM of Fractions for 844/20, 647/16, 989/270 is 270030626.