LCM of 519, 470, 702, 891, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 470, 702, 891, 639 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 519, 470, 702, 891, 639. So, keep reading to learn more.
Given numbers are 519,470,702,891,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,470,702,891,639 is 66868774830.
Find LCM of 519,470,702,891,639 with Prime Factorization
| 2 | 519, 470, 702, 891, 639 |
| 3 | 519, 235, 351, 891, 639 |
| 3 | 173, 235, 117, 297, 213 |
| 3 | 173, 235, 39, 99, 71 |
| 173, 235, 13, 33, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 173 x 235 x 13 x 33 x 71 = 66868774830
Therefore, the lowest common multiple of 519,470,702,891,639 is 66868774830.
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.
519 x 470 x 702 x 891 x 639 = 97494673702140
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.
519 : 1, 3, 173, 519
470 : 1, 2, 5, 10, 47, 94, 235, 470
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,470,702,891,639, is 1.
Now, the common factors can be found like this.
519:3x 173
470:2x 5x 47
702:2x 3x 3x 3x 13
891:3x 3x 3x 3x 11
639:3x 3x 71
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 3x 3x 3x 3 = 1458
Therefore, the value for common factors is 1458.
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 = 97494673702140/(1x1458)
LCM = 97494673702140/1458
LCM = 66868774830
Thus, we can understand that the LCM of 519,470,702,891,639 is 66868774830.
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FAQs on LCM of 519, 470, 702, 891, 639
1. What is the LCM of 519, 470, 702, 891, 639?
Answer: LCM of 519, 470, 702, 891, 639 is 66868774830.
2. How to calculate the LCM of 519, 470, 702, 891, 639?
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 519, 470, 702, 891, 639.
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}.