Least Common Multiple of 4/12, 9/84, 6/43, 32/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/12, 9/84, 6/43, 32/381 quickly i.e. 288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/12, 9/84, 6/43, 32/381 is 288.

LCM(4/12, 9/84, 6/43, 32/381) = 288

LCM of 4/12, 9/84, 6/43, 32/381

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 4/12,9/84,6/43,32/381

Given numbers are 4/12,9/84,6/43,32/381

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 4,9,6,32

Least Common Multiple of Numerators i.e. LCM of 4,9,6,32 is 288.

GCF of Denominators means GCF of 12,84,43,381 as per the given fractions.

GCF of 12,84,43,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,9,6,32

LCM of Fractions 4/12,9/84,6/43,32/381 is 288

2 4, 9, 6, 32
2 2, 9, 3, 16
3 1, 9, 3, 8
1, 1, 3, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 3 x 8 = 288

Least Common Multiple of 4,9,6,32 with GCF Formula

Least Common Multiple of 4,9,6,32 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 4,9,6,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,9,6,32) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(4,9,6,32) x common factors =1 x 24 = 24

LCM(4,9,6,32) = ( 4 × 9 × 6 × 32 ) / 24

LCM(4,9,6,32) = 6912 / 24

LCM(4,9,6,32) = 288


Lets's calculate GCF of 12,84,43,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288/1

Therefore the LCM of Fractions 4/12,9/84,6/43,32/381 is 288

Greatest Common Factor of 12,84,43,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,84,43,381 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 43

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

1,43

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 12,84,43,381 . The biggest common factor number is the GCF number.
So the greatest common factor 12,84,43,381 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 4/12, 9/84, 6/43, 32/381

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 4/12, 9/84, 6/43, 32/381?

Answer: LCM of Numerators as per given numbers 4/12, 9/84, 6/43, 32/381 is

LCM of Numerators i.e. for 4,9,6,32 is 288

GCF of denominators i.e. for 12,84,43,381 is 1.

Thus, LCM of Fractions is 288.Finally, LCM of Fractions for 4/12, 9/84, 6/43, 32/381 is 288.