Least Common Multiple of 12/60, 17/738, 380/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/60, 17/738, 380/672 quickly i.e. 3230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/60, 17/738, 380/672 is 3230.

LCM(12/60, 17/738, 380/672) = 3230

LCM of 12/60, 17/738, 380/672

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 12/60,17/738,380/672

Given numbers are 12/60,17/738,380/672

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 12,17,380

Least Common Multiple of Numerators i.e. LCM of 12,17,380 is 19380.

GCF of Denominators means GCF of 60,738,672 as per the given fractions.

GCF of 60,738,672 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,17,380

LCM of Fractions 12/60,17/738,380/672 is 3230

2 12, 17, 380
2 6, 17, 190
3, 17, 95

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 95 = 19380

Least Common Multiple of 12,17,380 with GCF Formula

Least Common Multiple of 12,17,380 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 12,17,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,17,380) = 1

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

GCF(12,17,380) x common factors =1 x 4 = 4

LCM(12,17,380) = ( 12 × 17 × 380 ) / 4

LCM(12,17,380) = 77520 / 4

LCM(12,17,380) = 19380


Lets's calculate GCF of 60,738,672

2 60, 738, 672
3 30, 369, 336
10, 123, 112

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19380/6

Therefore the LCM of Fractions 12/60,17/738,380/672 is 3230

Greatest Common Factor of 60,738,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,738,672 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 60,738,672 . The biggest common factor number is the GCF number.
So the greatest common factor 60,738,672 is 6.


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 12/60, 17/738, 380/672

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 12/60, 17/738, 380/672?

Answer: LCM of Numerators as per given numbers 12/60, 17/738, 380/672 is

LCM of Numerators i.e. for 12,17,380 is 19380

GCF of denominators i.e. for 60,738,672 is 6.

Thus, LCM of Fractions is 3230.Finally, LCM of Fractions for 12/60, 17/738, 380/672 is 3230.