LCM of 258, 529, 143, 705, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 529, 143, 705, 780 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 258, 529, 143, 705, 780. So, keep reading to learn more.
Given numbers are 258,529,143,705,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,529,143,705,780 is 9172955220.
Find LCM of 258,529,143,705,780 with Prime Factorization
| 2 | 258, 529, 143, 705, 780 |
| 3 | 129, 529, 143, 705, 390 |
| 5 | 43, 529, 143, 235, 130 |
| 13 | 43, 529, 143, 47, 26 |
| 43, 529, 11, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 43 x 529 x 11 x 47 x 2 = 9172955220
Therefore, the lowest common multiple of 258,529,143,705,780 is 9172955220.
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.
258 x 529 x 143 x 705 x 780 = 10732357607400
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
529 : 1, 23, 529
143 : 1, 11, 13, 143
705 : 1, 3, 5, 15, 47, 141, 235, 705
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,529,143,705,780, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
529:23x 23
143:11x 13
705:3x 5x 47
780:2x 2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 10732357607400/(1x1170)
LCM = 10732357607400/1170
LCM = 9172955220
Thus, we can understand that the LCM of 258,529,143,705,780 is 9172955220.
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FAQs on LCM of 258, 529, 143, 705, 780
1. What is the LCM of 258, 529, 143, 705, 780?
Answer: LCM of 258, 529, 143, 705, 780 is 9172955220.
2. How to calculate the LCM of 258, 529, 143, 705, 780?
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 258, 529, 143, 705, 780.
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}.