LCM of 583, 868, 550, 780, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 868, 550, 780, 427 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, 868, 550, 780, 427. So, keep reading to learn more.
Given numbers are 583,868,550,780,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,868,550,780,427 is 30096966900.
Find LCM of 583,868,550,780,427 with Prime Factorization
| 2 | 583, 868, 550, 780, 427 |
| 2 | 583, 434, 275, 390, 427 |
| 5 | 583, 217, 275, 195, 427 |
| 7 | 583, 217, 55, 39, 427 |
| 11 | 583, 31, 55, 39, 61 |
| 53, 31, 5, 39, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 53 x 31 x 5 x 39 x 61 = 30096966900
Therefore, the lowest common multiple of 583,868,550,780,427 is 30096966900.
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 868 x 550 x 780 x 427 = 92698658052000
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
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
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
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,868,550,780,427, is 1.
Now, the common factors can be found like this.
583:11x 53
868:2x 2x 7x 31
550:2x 5x 5x 11
780:2x 2x 3x 5x 13
427:7x 61
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 5x 7x 11 = 3080
Therefore, the value for common factors is 3080.
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 = 92698658052000/(1x3080)
LCM = 92698658052000/3080
LCM = 30096966900
Thus, we can understand that the LCM of 583,868,550,780,427 is 30096966900.
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FAQs on LCM of 583, 868, 550, 780, 427
1. What is the LCM of 583, 868, 550, 780, 427?
Answer: LCM of 583, 868, 550, 780, 427 is 30096966900.
2. How to calculate the LCM of 583, 868, 550, 780, 427?
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, 868, 550, 780, 427.
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}.