Least Common Multiple of 18/850, 39/592, 566/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/850, 39/592, 566/402 quickly i.e. 33111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/850, 39/592, 566/402 is 33111.

LCM(18/850, 39/592, 566/402) = 33111

LCM of 18/850, 39/592, 566/402

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 18/850,39/592,566/402

Given numbers are 18/850,39/592,566/402

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 18,39,566

Least Common Multiple of Numerators i.e. LCM of 18,39,566 is 66222.

GCF of Denominators means GCF of 850,592,402 as per the given fractions.

GCF of 850,592,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,39,566

LCM of Fractions 18/850,39/592,566/402 is 33111

2 18, 39, 566
3 9, 39, 283
3, 13, 283

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 283 = 66222

Least Common Multiple of 18,39,566 with GCF Formula

Least Common Multiple of 18,39,566 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 18,39,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,39,566) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,39,566) x common factors =1 x 6 = 6

LCM(18,39,566) = ( 18 × 39 × 566 ) / 6

LCM(18,39,566) = 397332 / 6

LCM(18,39,566) = 66222


Lets's calculate GCF of 850,592,402

2 850, 592, 402
425, 296, 201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66222/2

Therefore the LCM of Fractions 18/850,39/592,566/402 is 33111

Greatest Common Factor of 850,592,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,592,402 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 850,592,402 . The biggest common factor number is the GCF number.
So the greatest common factor 850,592,402 is 2.


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 18/850, 39/592, 566/402

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 18/850, 39/592, 566/402?

Answer: LCM of Numerators as per given numbers 18/850, 39/592, 566/402 is

LCM of Numerators i.e. for 18,39,566 is 66222

GCF of denominators i.e. for 850,592,402 is 2.

Thus, LCM of Fractions is 33111.Finally, LCM of Fractions for 18/850, 39/592, 566/402 is 33111.