LCM of 561, 720, 221, 908, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 720, 221, 908, 693 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 561, 720, 221, 908, 693. So, keep reading to learn more.
Given numbers are 561,720,221,908,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,720,221,908,693 is 2781258480.
Find LCM of 561,720,221,908,693 with Prime Factorization
| 2 | 561, 720, 221, 908, 693 |
| 2 | 561, 360, 221, 454, 693 |
| 3 | 561, 180, 221, 227, 693 |
| 3 | 187, 60, 221, 227, 231 |
| 11 | 187, 20, 221, 227, 77 |
| 17 | 17, 20, 221, 227, 7 |
| 1, 20, 13, 227, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 17 x 1 x 20 x 13 x 227 x 7 = 2781258480
Therefore, the lowest common multiple of 561,720,221,908,693 is 2781258480.
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.
561 x 720 x 221 x 908 x 693 = 56170296262080
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
221 : 1, 13, 17, 221
908 : 1, 2, 4, 227, 454, 908
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,720,221,908,693, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
720:2x 2x 2x 2x 3x 3x 5
221:13x 17
908:2x 2x 227
693:3x 3x 7x 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 11x 17 = 20196
Therefore, the value for common factors is 20196.
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 = 56170296262080/(1x20196)
LCM = 56170296262080/20196
LCM = 2781258480
Thus, we can understand that the LCM of 561,720,221,908,693 is 2781258480.
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FAQs on LCM of 561, 720, 221, 908, 693
1. What is the LCM of 561, 720, 221, 908, 693?
Answer: LCM of 561, 720, 221, 908, 693 is 2781258480.
2. How to calculate the LCM of 561, 720, 221, 908, 693?
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 561, 720, 221, 908, 693.
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}.