Least Common Multiple of 27/72, 940/16, 746/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/72, 940/16, 746/332 quickly i.e. 2366685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/72, 940/16, 746/332 is 2366685.

LCM(27/72, 940/16, 746/332) = 2366685

LCM of 27/72, 940/16, 746/332

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 27/72,940/16,746/332

Given numbers are 27/72,940/16,746/332

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 27,940,746

Least Common Multiple of Numerators i.e. LCM of 27,940,746 is 9466740.

GCF of Denominators means GCF of 72,16,332 as per the given fractions.

GCF of 72,16,332 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,940,746

LCM of Fractions 27/72,940/16,746/332 is 2366685

2 27, 940, 746
27, 470, 373

∴ So the LCM of the given numbers is 2 x 27 x 470 x 373 = 9466740

Least Common Multiple of 27,940,746 with GCF Formula

Least Common Multiple of 27,940,746 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 27,940,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,940,746) = 1

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

GCF(27,940,746) x common factors =1 x 2 = 2

LCM(27,940,746) = ( 27 × 940 × 746 ) / 2

LCM(27,940,746) = 18933480 / 2

LCM(27,940,746) = 9466740


Lets's calculate GCF of 72,16,332

2 72, 16, 332
2 36, 8, 166
18, 4, 83

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9466740/4

Therefore the LCM of Fractions 27/72,940/16,746/332 is 2366685

Greatest Common Factor of 72,16,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,16,332 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 72,16,332 . The biggest common factor number is the GCF number.
So the greatest common factor 72,16,332 is 4.


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 27/72, 940/16, 746/332

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 27/72, 940/16, 746/332?

Answer: LCM of Numerators as per given numbers 27/72, 940/16, 746/332 is

LCM of Numerators i.e. for 27,940,746 is 9466740

GCF of denominators i.e. for 72,16,332 is 4.

Thus, LCM of Fractions is 2366685.Finally, LCM of Fractions for 27/72, 940/16, 746/332 is 2366685.