Least Common Multiple of 821/995, 681/966, 311/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/995, 681/966, 311/798 quickly i.e. 173880411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/995, 681/966, 311/798 is 173880411.

LCM(821/995, 681/966, 311/798) = 173880411

LCM of 821/995, 681/966, 311/798

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 821/995,681/966,311/798

Given numbers are 821/995,681/966,311/798

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 821,681,311

Least Common Multiple of Numerators i.e. LCM of 821,681,311 is 173880411.

GCF of Denominators means GCF of 995,966,798 as per the given fractions.

GCF of 995,966,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,681,311

LCM of Fractions 821/995,681/966,311/798 is 173880411

Given numbers has no common factors except 1. So, there LCM is their product i.e 173880411

Least Common Multiple of 821,681,311 with GCF Formula

Least Common Multiple of 821,681,311 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 821,681,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,681,311) = 1

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

GCF(821,681,311) x common factors =1 x 1 = 1

LCM(821,681,311) = ( 821 × 681 × 311 ) / 1

LCM(821,681,311) = 173880411 / 1

LCM(821,681,311) = 173880411


Lets's calculate GCF of 995,966,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173880411/1

Therefore the LCM of Fractions 821/995,681/966,311/798 is 173880411

Greatest Common Factor of 995,966,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,966,798 By Matching Biggest Common Factor Method

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 995,966,798 . The biggest common factor number is the GCF number.
So the greatest common factor 995,966,798 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 821/995, 681/966, 311/798

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 821/995, 681/966, 311/798?

Answer: LCM of Numerators as per given numbers 821/995, 681/966, 311/798 is

LCM of Numerators i.e. for 821,681,311 is 173880411

GCF of denominators i.e. for 995,966,798 is 1.

Thus, LCM of Fractions is 173880411.Finally, LCM of Fractions for 821/995, 681/966, 311/798 is 173880411.