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LCM of 216, 282, 432, 802

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


Find the LCM of 216, 282, 432, 802 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 216, 282, 432, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 216,282,432,802

Given numbers are 216,282,432,802

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

The LCM of 216,282,432,802 is 8141904.

Find LCM of 216,282,432,802 with Prime Factorization


2 216, 282, 432, 802
2 108, 141, 216, 401
2 54, 141, 108, 401
3 27, 141, 54, 401
3 9, 47, 18, 401
3 3, 47, 6, 401
1, 47, 2, 401

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

2 x 2 x 2 x 3 x 3 x 3 x 1 x 47 x 2 x 401 = 8141904

Therefore, the lowest common multiple of 216,282,432,802 is 8141904.

LCM Formula to Find Lowest Common Multiple of 216,282,432,802

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.

216 x 282 x 432 x 802 = 21103815168

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.

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

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

802 : 1, 2, 401, 802

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,282,432,802, is 2.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

282:2x 3x 47

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

802:2x 401

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 21103815168/(2x1296)

LCM = 21103815168/2592

LCM = 8141904

Thus, we can understand that the LCM of 216,282,432,802 is 8141904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 216, 282, 432, 802

1. What is the LCM of 216, 282, 432, 802?

Answer: LCM of 216, 282, 432, 802 is 8141904.

2. How to calculate the LCM of 216, 282, 432, 802?

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 216, 282, 432, 802.

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}.