Least Common Multiple of 864/80, 841/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/80, 841/176 quickly i.e. 45414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/80, 841/176 is 45414.

LCM(864/80, 841/176) = 45414

LCM of 864/80, 841/176

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 864/80,841/176

Given numbers are 864/80,841/176

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 864,841

Least Common Multiple of Numerators i.e. LCM of 864,841 is 726624.

GCF of Denominators means GCF of 80,176 as per the given fractions.

GCF of 80,176 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,841

LCM of Fractions 864/80,841/176 is 45414

Given numbers has no common factors except 1. So, there LCM is their product i.e 726624

Least Common Multiple of 864,841 with GCF Formula

Least Common Multiple of 864,841 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 864,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,841) = 1

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

GCF(864,841) x common factors =1 x 1 = 1

LCM(864,841) = ( 864 × 841 ) / 1

LCM(864,841) = 726624 / 1

LCM(864,841) = 726624


Lets's calculate GCF of 80,176

2 80, 176
2 40, 88
2 20, 44
2 10, 22
5, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 726624/16

Therefore the LCM of Fractions 864/80,841/176 is 45414

Greatest Common Factor of 80,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,176 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 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 80,176 . The biggest common factor number is the GCF number.
So the greatest common factor 80,176 is 16.


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 864/80, 841/176

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 864/80, 841/176?

Answer: LCM of Numerators as per given numbers 864/80, 841/176 is

LCM of Numerators i.e. for 864,841 is 726624

GCF of denominators i.e. for 80,176 is 16.

Thus, LCM of Fractions is 45414.Finally, LCM of Fractions for 864/80, 841/176 is 45414.