Least Common Multiple of 660/558, 412/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/558, 412/741 quickly i.e. 22660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/558, 412/741 is 22660.

LCM(660/558, 412/741) = 22660

LCM of 660/558, 412/741

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 660/558,412/741

Given numbers are 660/558,412/741

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 660,412

Least Common Multiple of Numerators i.e. LCM of 660,412 is 67980.

GCF of Denominators means GCF of 558,741 as per the given fractions.

GCF of 558,741 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,412

LCM of Fractions 660/558,412/741 is 22660

2 660, 412
2 330, 206
165, 103

∴ So the LCM of the given numbers is 2 x 2 x 165 x 103 = 67980

Least Common Multiple of 660,412 with GCF Formula

Least Common Multiple of 660,412 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 660,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,412) = 4

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

GCF(660,412) x common factors =4 x 1 = 4

LCM(660,412) = ( 660 × 412 ) / 4

LCM(660,412) = 271920 / 4

LCM(660,412) = 67980


Lets's calculate GCF of 558,741

3 558, 741
186, 247

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67980/3

Therefore the LCM of Fractions 660/558,412/741 is 22660

Greatest Common Factor of 558,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,741 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 558,741 . The biggest common factor number is the GCF number.
So the greatest common factor 558,741 is 3.


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 660/558, 412/741

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 660/558, 412/741?

Answer: LCM of Numerators as per given numbers 660/558, 412/741 is

LCM of Numerators i.e. for 660,412 is 67980

GCF of denominators i.e. for 558,741 is 3.

Thus, LCM of Fractions is 22660.Finally, LCM of Fractions for 660/558, 412/741 is 22660.