Least Common Multiple of 868/80, 689/81, 547/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 868/80, 689/81, 547/505 quickly i.e. 327134444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/80, 689/81, 547/505 is 327134444.

LCM(868/80, 689/81, 547/505) = 327134444

LCM of 868/80, 689/81, 547/505

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 868/80,689/81,547/505

Given numbers are 868/80,689/81,547/505

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 868,689,547

Least Common Multiple of Numerators i.e. LCM of 868,689,547 is 327134444.

GCF of Denominators means GCF of 80,81,505 as per the given fractions.

GCF of 80,81,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,689,547

LCM of Fractions 868/80,689/81,547/505 is 327134444

Given numbers has no common factors except 1. So, there LCM is their product i.e 327134444

Least Common Multiple of 868,689,547 with GCF Formula

Least Common Multiple of 868,689,547 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 868,689,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,689,547) = 1

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

GCF(868,689,547) x common factors =1 x 1 = 1

LCM(868,689,547) = ( 868 × 689 × 547 ) / 1

LCM(868,689,547) = 327134444 / 1

LCM(868,689,547) = 327134444


Lets's calculate GCF of 80,81,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327134444/1

Therefore the LCM of Fractions 868/80,689/81,547/505 is 327134444

Greatest Common Factor of 80,81,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,81,505 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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 80,81,505 . The biggest common factor number is the GCF number.
So the greatest common factor 80,81,505 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 868/80, 689/81, 547/505

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 868/80, 689/81, 547/505?

Answer: LCM of Numerators as per given numbers 868/80, 689/81, 547/505 is

LCM of Numerators i.e. for 868,689,547 is 327134444

GCF of denominators i.e. for 80,81,505 is 1.

Thus, LCM of Fractions is 327134444.Finally, LCM of Fractions for 868/80, 689/81, 547/505 is 327134444.