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LCM of 882, 216, 931, 309, 550

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


Find the LCM of 882, 216, 931, 309, 550 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 882, 216, 931, 309, 550. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,216,931,309,550

Given numbers are 882,216,931,309,550

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

The LCM of 882,216,931,309,550 is 5696044200.

Find LCM of 882,216,931,309,550 with Prime Factorization


2 882, 216, 931, 309, 550
3 441, 108, 931, 309, 275
3 147, 36, 931, 103, 275
7 49, 12, 931, 103, 275
7 7, 12, 133, 103, 275
1, 12, 19, 103, 275

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

2 x 3 x 3 x 7 x 7 x 1 x 12 x 19 x 103 x 275 = 5696044200

Therefore, the lowest common multiple of 882,216,931,309,550 is 5696044200.

LCM Formula to Find Lowest Common Multiple of 882,216,931,309,550

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.

882 x 216 x 931 x 309 x 550 = 30143465906400

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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

931 : 1, 7, 19, 49, 133, 931

309 : 1, 3, 103, 309

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,216,931,309,550, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

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

931:7x 7x 19

309:3x 103

550:2x 5x 5x 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 3x 3x 3x 7x 7 = 5292

Therefore, the value for common factors is 5292.

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 = 30143465906400/(1x5292)

LCM = 30143465906400/5292

LCM = 5696044200

Thus, we can understand that the LCM of 882,216,931,309,550 is 5696044200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 216, 931, 309, 550

1. What is the LCM of 882, 216, 931, 309, 550?

Answer: LCM of 882, 216, 931, 309, 550 is 5696044200.

2. How to calculate the LCM of 882, 216, 931, 309, 550?

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 882, 216, 931, 309, 550.

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}.