Least Common Multiple of 40/66, 57/32, 59/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/66, 57/32, 59/246 quickly i.e. 67260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/66, 57/32, 59/246 is 67260.

LCM(40/66, 57/32, 59/246) = 67260

LCM of 40/66, 57/32, 59/246

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 40/66,57/32,59/246

Given numbers are 40/66,57/32,59/246

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 40,57,59

Least Common Multiple of Numerators i.e. LCM of 40,57,59 is 134520.

GCF of Denominators means GCF of 66,32,246 as per the given fractions.

GCF of 66,32,246 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,57,59

LCM of Fractions 40/66,57/32,59/246 is 67260

Given numbers has no common factors except 1. So, there LCM is their product i.e 134520

Least Common Multiple of 40,57,59 with GCF Formula

Least Common Multiple of 40,57,59 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 40,57,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,57,59) = 1

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

GCF(40,57,59) x common factors =1 x 1 = 1

LCM(40,57,59) = ( 40 × 57 × 59 ) / 1

LCM(40,57,59) = 134520 / 1

LCM(40,57,59) = 134520


Lets's calculate GCF of 66,32,246

2 66, 32, 246
33, 16, 123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134520/2

Therefore the LCM of Fractions 40/66,57/32,59/246 is 67260

Greatest Common Factor of 66,32,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,32,246 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 66,32,246 . The biggest common factor number is the GCF number.
So the greatest common factor 66,32,246 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 40/66, 57/32, 59/246

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 40/66, 57/32, 59/246?

Answer: LCM of Numerators as per given numbers 40/66, 57/32, 59/246 is

LCM of Numerators i.e. for 40,57,59 is 134520

GCF of denominators i.e. for 66,32,246 is 2.

Thus, LCM of Fractions is 67260.Finally, LCM of Fractions for 40/66, 57/32, 59/246 is 67260.