Least Common Multiple of 660/40, 593/88, 142/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/40, 593/88, 142/510 quickly i.e. 13893990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/40, 593/88, 142/510 is 13893990.

LCM(660/40, 593/88, 142/510) = 13893990

LCM of 660/40, 593/88, 142/510

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 660/40,593/88,142/510

Given numbers are 660/40,593/88,142/510

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 660,593,142

Least Common Multiple of Numerators i.e. LCM of 660,593,142 is 27787980.

GCF of Denominators means GCF of 40,88,510 as per the given fractions.

GCF of 40,88,510 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,593,142

LCM of Fractions 660/40,593/88,142/510 is 13893990

2 660, 593, 142
330, 593, 71

∴ So the LCM of the given numbers is 2 x 330 x 593 x 71 = 27787980

Least Common Multiple of 660,593,142 with GCF Formula

Least Common Multiple of 660,593,142 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 660,593,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,593,142) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(660,593,142) x common factors =1 x 2 = 2

LCM(660,593,142) = ( 660 × 593 × 142 ) / 2

LCM(660,593,142) = 55575960 / 2

LCM(660,593,142) = 27787980


Lets's calculate GCF of 40,88,510

2 40, 88, 510
20, 44, 255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27787980/2

Therefore the LCM of Fractions 660/40,593/88,142/510 is 13893990

Greatest Common Factor of 40,88,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,88,510 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 40,88,510 . The biggest common factor number is the GCF number.
So the greatest common factor 40,88,510 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 660/40, 593/88, 142/510

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 660/40, 593/88, 142/510?

Answer: LCM of Numerators as per given numbers 660/40, 593/88, 142/510 is

LCM of Numerators i.e. for 660,593,142 is 27787980

GCF of denominators i.e. for 40,88,510 is 2.

Thus, LCM of Fractions is 13893990.Finally, LCM of Fractions for 660/40, 593/88, 142/510 is 13893990.