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LCM of 432, 368, 587, 644

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


Find the LCM of 432, 368, 587, 644 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 432, 368, 587, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 432,368,587,644

Given numbers are 432,368,587,644

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

The LCM of 432,368,587,644 is 40827024.

Find LCM of 432,368,587,644 with Prime Factorization


2 432, 368, 587, 644
2 216, 184, 587, 322
2 108, 92, 587, 161
2 54, 46, 587, 161
23 27, 23, 587, 161
27, 1, 587, 7

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

2 x 2 x 2 x 2 x 23 x 27 x 1 x 587 x 7 = 40827024

Therefore, the lowest common multiple of 432,368,587,644 is 40827024.

LCM Formula to Find Lowest Common Multiple of 432,368,587,644

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.

432 x 368 x 587 x 644 = 60097379328

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.

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

587 : 1, 587

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,368,587,644, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

368:2x 2x 2x 2x 23

587:587

644:2x 2x 7x 23

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 2x 2x 2x 23 = 1472

Therefore, the value for common factors is 1472.

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 = 60097379328/(1x1472)

LCM = 60097379328/1472

LCM = 40827024

Thus, we can understand that the LCM of 432,368,587,644 is 40827024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 432, 368, 587, 644

1. What is the LCM of 432, 368, 587, 644?

Answer: LCM of 432, 368, 587, 644 is 40827024.

2. How to calculate the LCM of 432, 368, 587, 644?

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 432, 368, 587, 644.

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}.