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LCM of 828, 392, 216, 222

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


Find the LCM of 828, 392, 216, 222 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 828, 392, 216, 222. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,392,216,222

Given numbers are 828,392,216,222

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

The LCM of 828,392,216,222 is 9006984.

Find LCM of 828,392,216,222 with Prime Factorization


2 828, 392, 216, 222
2 414, 196, 108, 111
2 207, 98, 54, 111
3 207, 49, 27, 111
3 69, 49, 9, 37
23, 49, 3, 37

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

2 x 2 x 2 x 3 x 3 x 23 x 49 x 3 x 37 = 9006984

Therefore, the lowest common multiple of 828,392,216,222 is 9006984.

LCM Formula to Find Lowest Common Multiple of 828,392,216,222

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.

828 x 392 x 216 x 222 = 15564068352

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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

222 : 1, 2, 3, 6, 37, 74, 111, 222

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,392,216,222, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

392:2x 2x 2x 7x 7

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

222:2x 3x 37

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 15564068352/(2x864)

LCM = 15564068352/1728

LCM = 9006984

Thus, we can understand that the LCM of 828,392,216,222 is 9006984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 392, 216, 222

1. What is the LCM of 828, 392, 216, 222?

Answer: LCM of 828, 392, 216, 222 is 9006984.

2. How to calculate the LCM of 828, 392, 216, 222?

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 828, 392, 216, 222.

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}.