Least Common Multiple of 72/66, 12/43, 12/17, 460/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/66, 12/43, 12/17, 460/19 quickly i.e. 8280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/66, 12/43, 12/17, 460/19 is 8280.

LCM(72/66, 12/43, 12/17, 460/19) = 8280

LCM of 72/66, 12/43, 12/17, 460/19

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 72/66,12/43,12/17,460/19

Given numbers are 72/66,12/43,12/17,460/19

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 72,12,12,460

Least Common Multiple of Numerators i.e. LCM of 72,12,12,460 is 8280.

GCF of Denominators means GCF of 66,43,17,19 as per the given fractions.

GCF of 66,43,17,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,12,12,460

LCM of Fractions 72/66,12/43,12/17,460/19 is 8280

2 72, 12, 12, 460
2 36, 6, 6, 230
3 18, 3, 3, 115
6, 1, 1, 115

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 1 x 1 x 115 = 8280

Least Common Multiple of 72,12,12,460 with GCF Formula

Least Common Multiple of 72,12,12,460 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 72,12,12,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,12,12,460) = 4

common factors(in case of two or more numbers have common factors) = 144

GCF(72,12,12,460) x common factors =4 x 144 = 576

LCM(72,12,12,460) = ( 72 × 12 × 12 × 460 ) / 576

LCM(72,12,12,460) = 4769280 / 576

LCM(72,12,12,460) = 8280


Lets's calculate GCF of 66,43,17,19

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8280/1

Therefore the LCM of Fractions 72/66,12/43,12/17,460/19 is 8280

Greatest Common Factor of 66,43,17,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,43,17,19 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 66,43,17,19 . The biggest common factor number is the GCF number.
So the greatest common factor 66,43,17,19 is 1.


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 72/66, 12/43, 12/17, 460/19

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 72/66, 12/43, 12/17, 460/19?

Answer: LCM of Numerators as per given numbers 72/66, 12/43, 12/17, 460/19 is

LCM of Numerators i.e. for 72,12,12,460 is 8280

GCF of denominators i.e. for 66,43,17,19 is 1.

Thus, LCM of Fractions is 8280.Finally, LCM of Fractions for 72/66, 12/43, 12/17, 460/19 is 8280.