Least Common Multiple of 199/802, 585/660, 178/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/802, 585/660, 178/349 quickly i.e. 20721870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/802, 585/660, 178/349 is 20721870.

LCM(199/802, 585/660, 178/349) = 20721870

LCM of 199/802, 585/660, 178/349

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 199/802,585/660,178/349

Given numbers are 199/802,585/660,178/349

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 199,585,178

Least Common Multiple of Numerators i.e. LCM of 199,585,178 is 20721870.

GCF of Denominators means GCF of 802,660,349 as per the given fractions.

GCF of 802,660,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,585,178

LCM of Fractions 199/802,585/660,178/349 is 20721870

Given numbers has no common factors except 1. So, there LCM is their product i.e 20721870

Least Common Multiple of 199,585,178 with GCF Formula

Least Common Multiple of 199,585,178 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 199,585,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,585,178) = 1

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

GCF(199,585,178) x common factors =1 x 1 = 1

LCM(199,585,178) = ( 199 × 585 × 178 ) / 1

LCM(199,585,178) = 20721870 / 1

LCM(199,585,178) = 20721870


Lets's calculate GCF of 802,660,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20721870/1

Therefore the LCM of Fractions 199/802,585/660,178/349 is 20721870

Greatest Common Factor of 802,660,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,660,349 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 802,660,349 . The biggest common factor number is the GCF number.
So the greatest common factor 802,660,349 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 199/802, 585/660, 178/349

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 199/802, 585/660, 178/349?

Answer: LCM of Numerators as per given numbers 199/802, 585/660, 178/349 is

LCM of Numerators i.e. for 199,585,178 is 20721870

GCF of denominators i.e. for 802,660,349 is 1.

Thus, LCM of Fractions is 20721870.Finally, LCM of Fractions for 199/802, 585/660, 178/349 is 20721870.