LCM of 583, 101, 477, 819, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 101, 477, 819, 220 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 583, 101, 477, 819, 220. So, keep reading to learn more.
Given numbers are 583,101,477,819,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,101,477,819,220 is 964503540.
Find LCM of 583,101,477,819,220 with Prime Factorization
| 3 | 583, 101, 477, 819, 220 |
| 3 | 583, 101, 159, 273, 220 |
| 11 | 583, 101, 53, 91, 220 |
| 53 | 53, 101, 53, 91, 20 |
| 1, 101, 1, 91, 20 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 53 x 1 x 101 x 1 x 91 x 20 = 964503540
Therefore, the lowest common multiple of 583,101,477,819,220 is 964503540.
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.
583 x 101 x 477 x 819 x 220 = 5060750074380
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.
583 : 1, 11, 53, 583
101 : 1, 101
477 : 1, 3, 9, 53, 159, 477
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,101,477,819,220, is 1.
Now, the common factors can be found like this.
583:11x 53
101:101
477:3x 3x 53
819:3x 3x 7x 13
220:2x 2x 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.
3x 3x 11x 53 = 5247
Therefore, the value for common factors is 5247.
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 = 5060750074380/(1x5247)
LCM = 5060750074380/5247
LCM = 964503540
Thus, we can understand that the LCM of 583,101,477,819,220 is 964503540.
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FAQs on LCM of 583, 101, 477, 819, 220
1. What is the LCM of 583, 101, 477, 819, 220?
Answer: LCM of 583, 101, 477, 819, 220 is 964503540.
2. How to calculate the LCM of 583, 101, 477, 819, 220?
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 583, 101, 477, 819, 220.
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}.