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LCM of 367, 132, 384, 594

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 367, 132, 384, 594 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 367, 132, 384, 594. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 367,132,384,594

Given numbers are 367,132,384,594

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 367,132,384,594 is 13951872.

Find LCM of 367,132,384,594 with Prime Factorization


2 367, 132, 384, 594
2 367, 66, 192, 297
3 367, 33, 96, 297
11 367, 11, 32, 99
367, 1, 32, 9

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 11 x 367 x 1 x 32 x 9 = 13951872

Therefore, the lowest common multiple of 367,132,384,594 is 13951872.

LCM Formula to Find Lowest Common Multiple of 367,132,384,594

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

367 x 132 x 384 x 594 = 11049882624

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

367 : 1, 367

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,132,384,594, is 1.

Now, the common factors can be found like this.

367:367

132:2x 2x 3x 11

384:2x 2x 2x 2x 2x 2x 2x 3

594:2x 3x 3x 3x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 11 = 792

Therefore, the value for common factors is 792.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 11049882624/(1x792)

LCM = 11049882624/792

LCM = 13951872

Thus, we can understand that the LCM of 367,132,384,594 is 13951872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 367, 132, 384, 594

1. What is the LCM of 367, 132, 384, 594?

Answer: LCM of 367, 132, 384, 594 is 13951872.

2. How to calculate the LCM of 367, 132, 384, 594?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 367, 132, 384, 594.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.