Least Common Multiple of 869/80, 556/3244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 869/80, 556/3244 quickly i.e. 120791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/80, 556/3244 is 120791.

LCM(869/80, 556/3244) = 120791

LCM of 869/80, 556/3244

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 869/80,556/3244

Given numbers are 869/80,556/3244

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 869,556

Least Common Multiple of Numerators i.e. LCM of 869,556 is 483164.

GCF of Denominators means GCF of 80,3244 as per the given fractions.

GCF of 80,3244 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,556

LCM of Fractions 869/80,556/3244 is 120791

Given numbers has no common factors except 1. So, there LCM is their product i.e 483164

Least Common Multiple of 869,556 with GCF Formula

Least Common Multiple of 869,556 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 869,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,556) = 1

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

GCF(869,556) x common factors =1 x 1 = 1

LCM(869,556) = ( 869 × 556 ) / 1

LCM(869,556) = 483164 / 1

LCM(869,556) = 483164


Lets's calculate GCF of 80,3244

2 80, 3244
2 40, 1622
20, 811

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483164/4

Therefore the LCM of Fractions 869/80,556/3244 is 120791

Greatest Common Factor of 80,3244 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,3244 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 3244

List of positive integer factors of 3244 that divides 3244 without a remainder.

1,2,4,811,1622,3244

Greatest Common Factor

We found the factors 80,3244 . The biggest common factor number is the GCF number.
So the greatest common factor 80,3244 is 4.


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Frequently Asked Questions on Fractional LCM of 869/80, 556/3244

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 869/80, 556/3244?

Answer: LCM of Numerators as per given numbers 869/80, 556/3244 is

LCM of Numerators i.e. for 869,556 is 483164

GCF of denominators i.e. for 80,3244 is 4.

Thus, LCM of Fractions is 120791.Finally, LCM of Fractions for 869/80, 556/3244 is 120791.