Least Common Multiple of 3354/574, 6000/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3354/574, 6000/181 quickly i.e. 3354000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3354/574, 6000/181 is 3354000.

LCM(3354/574, 6000/181) = 3354000

LCM of 3354/574, 6000/181

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 3354/574,6000/181

Given numbers are 3354/574,6000/181

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 3354,6000

Least Common Multiple of Numerators i.e. LCM of 3354,6000 is 3354000.

GCF of Denominators means GCF of 574,181 as per the given fractions.

GCF of 574,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3354,6000

LCM of Fractions 3354/574,6000/181 is 3354000

2 3354, 6000
3 1677, 3000
559, 1000

∴ So the LCM of the given numbers is 2 x 3 x 559 x 1000 = 3354000

Least Common Multiple of 3354,6000 with GCF Formula

Least Common Multiple of 3354,6000 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 3354,6000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3354,6000) = 6

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

GCF(3354,6000) x common factors =6 x 1 = 6

LCM(3354,6000) = ( 3354 × 6000 ) / 6

LCM(3354,6000) = 20124000 / 6

LCM(3354,6000) = 3354000


Lets's calculate GCF of 574,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3354000/1

Therefore the LCM of Fractions 3354/574,6000/181 is 3354000

Greatest Common Factor of 574,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,181 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 574,181 . The biggest common factor number is the GCF number.
So the greatest common factor 574,181 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 3354/574, 6000/181

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 3354/574, 6000/181?

Answer: LCM of Numerators as per given numbers 3354/574, 6000/181 is

LCM of Numerators i.e. for 3354,6000 is 3354000

GCF of denominators i.e. for 574,181 is 1.

Thus, LCM of Fractions is 3354000.Finally, LCM of Fractions for 3354/574, 6000/181 is 3354000.