Least Common Multiple of 66/87, 26/39, 43/15, 40/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/87, 26/39, 43/15, 40/603 quickly i.e. 245960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/87, 26/39, 43/15, 40/603 is 245960.

LCM(66/87, 26/39, 43/15, 40/603) = 245960

LCM of 66/87, 26/39, 43/15, 40/603

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 66/87,26/39,43/15,40/603

Given numbers are 66/87,26/39,43/15,40/603

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 66,26,43,40

Least Common Multiple of Numerators i.e. LCM of 66,26,43,40 is 737880.

GCF of Denominators means GCF of 87,39,15,603 as per the given fractions.

GCF of 87,39,15,603 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,26,43,40

LCM of Fractions 66/87,26/39,43/15,40/603 is 245960

2 66, 26, 43, 40
33, 13, 43, 20

∴ So the LCM of the given numbers is 2 x 33 x 13 x 43 x 20 = 737880

Least Common Multiple of 66,26,43,40 with GCF Formula

Least Common Multiple of 66,26,43,40 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 66,26,43,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,26,43,40) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(66,26,43,40) x common factors =1 x 4 = 4

LCM(66,26,43,40) = ( 66 × 26 × 43 × 40 ) / 4

LCM(66,26,43,40) = 2951520 / 4

LCM(66,26,43,40) = 737880


Lets's calculate GCF of 87,39,15,603

3 87, 39, 15, 603
29, 13, 5, 201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 737880/3

Therefore the LCM of Fractions 66/87,26/39,43/15,40/603 is 245960

Greatest Common Factor of 87,39,15,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,39,15,603 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 87,39,15,603 . The biggest common factor number is the GCF number.
So the greatest common factor 87,39,15,603 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 66/87, 26/39, 43/15, 40/603

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 66/87, 26/39, 43/15, 40/603?

Answer: LCM of Numerators as per given numbers 66/87, 26/39, 43/15, 40/603 is

LCM of Numerators i.e. for 66,26,43,40 is 737880

GCF of denominators i.e. for 87,39,15,603 is 3.

Thus, LCM of Fractions is 245960.Finally, LCM of Fractions for 66/87, 26/39, 43/15, 40/603 is 245960.