Least Common Multiple of 800/817, 242/179, 982/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/817, 242/179, 982/581 quickly i.e. 47528800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/817, 242/179, 982/581 is 47528800.

LCM(800/817, 242/179, 982/581) = 47528800

LCM of 800/817, 242/179, 982/581

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 800/817,242/179,982/581

Given numbers are 800/817,242/179,982/581

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 800,242,982

Least Common Multiple of Numerators i.e. LCM of 800,242,982 is 47528800.

GCF of Denominators means GCF of 817,179,581 as per the given fractions.

GCF of 817,179,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,242,982

LCM of Fractions 800/817,242/179,982/581 is 47528800

2 800, 242, 982
400, 121, 491

∴ So the LCM of the given numbers is 2 x 400 x 121 x 491 = 47528800

Least Common Multiple of 800,242,982 with GCF Formula

Least Common Multiple of 800,242,982 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 800,242,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,242,982) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(800,242,982) x common factors =2 x 2 = 4

LCM(800,242,982) = ( 800 × 242 × 982 ) / 4

LCM(800,242,982) = 190115200 / 4

LCM(800,242,982) = 47528800


Lets's calculate GCF of 817,179,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47528800/1

Therefore the LCM of Fractions 800/817,242/179,982/581 is 47528800

Greatest Common Factor of 817,179,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,179,581 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 817,179,581 . The biggest common factor number is the GCF number.
So the greatest common factor 817,179,581 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 800/817, 242/179, 982/581

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 800/817, 242/179, 982/581?

Answer: LCM of Numerators as per given numbers 800/817, 242/179, 982/581 is

LCM of Numerators i.e. for 800,242,982 is 47528800

GCF of denominators i.e. for 817,179,581 is 1.

Thus, LCM of Fractions is 47528800.Finally, LCM of Fractions for 800/817, 242/179, 982/581 is 47528800.