LCM of 516, 587, 832, 845, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 587, 832, 845, 706 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 516, 587, 832, 845, 706. So, keep reading to learn more.
Given numbers are 516,587,832,845,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,587,832,845,706 is 1445570243520.
Find LCM of 516,587,832,845,706 with Prime Factorization
| 2 | 516, 587, 832, 845, 706 |
| 2 | 258, 587, 416, 845, 353 |
| 13 | 129, 587, 208, 845, 353 |
| 129, 587, 16, 65, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 129 x 587 x 16 x 65 x 353 = 1445570243520
Therefore, the lowest common multiple of 516,587,832,845,706 is 1445570243520.
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.
516 x 587 x 832 x 845 x 706 = 150339305326080
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
587 : 1, 587
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
845 : 1, 5, 13, 65, 169, 845
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,587,832,845,706, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
587:587
832:2x 2x 2x 2x 2x 2x 13
845:5x 13x 13
706:2x 353
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 13 = 104
Therefore, the value for common factors is 104.
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 = 150339305326080/(1x104)
LCM = 150339305326080/104
LCM = 1445570243520
Thus, we can understand that the LCM of 516,587,832,845,706 is 1445570243520.
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FAQs on LCM of 516, 587, 832, 845, 706
1. What is the LCM of 516, 587, 832, 845, 706?
Answer: LCM of 516, 587, 832, 845, 706 is 1445570243520.
2. How to calculate the LCM of 516, 587, 832, 845, 706?
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 516, 587, 832, 845, 706.
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}.