Least Common Multiple of 12/51, 76/66, 14/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/51, 76/66, 14/432 quickly i.e. 532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/51, 76/66, 14/432 is 532.

LCM(12/51, 76/66, 14/432) = 532

LCM of 12/51, 76/66, 14/432

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 12/51,76/66,14/432

Given numbers are 12/51,76/66,14/432

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 12,76,14

Least Common Multiple of Numerators i.e. LCM of 12,76,14 is 1596.

GCF of Denominators means GCF of 51,66,432 as per the given fractions.

GCF of 51,66,432 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,76,14

LCM of Fractions 12/51,76/66,14/432 is 532

2 12, 76, 14
2 6, 38, 7
3, 19, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 7 = 1596

Least Common Multiple of 12,76,14 with GCF Formula

Least Common Multiple of 12,76,14 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 12,76,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,76,14) = 2

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

GCF(12,76,14) x common factors =2 x 4 = 8

LCM(12,76,14) = ( 12 × 76 × 14 ) / 8

LCM(12,76,14) = 12768 / 8

LCM(12,76,14) = 1596


Lets's calculate GCF of 51,66,432

3 51, 66, 432
17, 22, 144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1596/3

Therefore the LCM of Fractions 12/51,76/66,14/432 is 532

Greatest Common Factor of 51,66,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,66,432 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

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 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 51,66,432 . The biggest common factor number is the GCF number.
So the greatest common factor 51,66,432 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 12/51, 76/66, 14/432

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 12/51, 76/66, 14/432?

Answer: LCM of Numerators as per given numbers 12/51, 76/66, 14/432 is

LCM of Numerators i.e. for 12,76,14 is 1596

GCF of denominators i.e. for 51,66,432 is 3.

Thus, LCM of Fractions is 532.Finally, LCM of Fractions for 12/51, 76/66, 14/432 is 532.