Least Common Multiple of 74/717, 83/283, 369/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/717, 83/283, 369/800 quickly i.e. 2266398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/717, 83/283, 369/800 is 2266398.

LCM(74/717, 83/283, 369/800) = 2266398

LCM of 74/717, 83/283, 369/800

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 74/717,83/283,369/800

Given numbers are 74/717,83/283,369/800

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 74,83,369

Least Common Multiple of Numerators i.e. LCM of 74,83,369 is 2266398.

GCF of Denominators means GCF of 717,283,800 as per the given fractions.

GCF of 717,283,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,83,369

LCM of Fractions 74/717,83/283,369/800 is 2266398

Given numbers has no common factors except 1. So, there LCM is their product i.e 2266398

Least Common Multiple of 74,83,369 with GCF Formula

Least Common Multiple of 74,83,369 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 74,83,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,83,369) = 1

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

GCF(74,83,369) x common factors =1 x 1 = 1

LCM(74,83,369) = ( 74 × 83 × 369 ) / 1

LCM(74,83,369) = 2266398 / 1

LCM(74,83,369) = 2266398


Lets's calculate GCF of 717,283,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2266398/1

Therefore the LCM of Fractions 74/717,83/283,369/800 is 2266398

Greatest Common Factor of 717,283,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,283,800 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 717,283,800 . The biggest common factor number is the GCF number.
So the greatest common factor 717,283,800 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 74/717, 83/283, 369/800

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 74/717, 83/283, 369/800?

Answer: LCM of Numerators as per given numbers 74/717, 83/283, 369/800 is

LCM of Numerators i.e. for 74,83,369 is 2266398

GCF of denominators i.e. for 717,283,800 is 1.

Thus, LCM of Fractions is 2266398.Finally, LCM of Fractions for 74/717, 83/283, 369/800 is 2266398.