LCM of 221, 689, 780, 804, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 689, 780, 804, 217 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 221, 689, 780, 804, 217. So, keep reading to learn more.
Given numbers are 221,689,780,804,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,689,780,804,217 is 10217718420.
Find LCM of 221,689,780,804,217 with Prime Factorization
| 2 | 221, 689, 780, 804, 217 |
| 2 | 221, 689, 390, 402, 217 |
| 3 | 221, 689, 195, 201, 217 |
| 13 | 221, 689, 65, 67, 217 |
| 17, 53, 5, 67, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 53 x 5 x 67 x 217 = 10217718420
Therefore, the lowest common multiple of 221,689,780,804,217 is 10217718420.
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.
221 x 689 x 780 x 804 x 217 = 20721532955760
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.
221 : 1, 13, 17, 221
689 : 1, 13, 53, 689
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,689,780,804,217, is 1.
Now, the common factors can be found like this.
221:13x 17
689:13x 53
780:2x 2x 3x 5x 13
804:2x 2x 3x 67
217:7x 31
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 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 20721532955760/(1x2028)
LCM = 20721532955760/2028
LCM = 10217718420
Thus, we can understand that the LCM of 221,689,780,804,217 is 10217718420.
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FAQs on LCM of 221, 689, 780, 804, 217
1. What is the LCM of 221, 689, 780, 804, 217?
Answer: LCM of 221, 689, 780, 804, 217 is 10217718420.
2. How to calculate the LCM of 221, 689, 780, 804, 217?
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 221, 689, 780, 804, 217.
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}.