Find the LCM of 516, 610, 755, 560, 705 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, 610, 755, 560, 705. So, keep reading to learn more.
Given numbers are 516,610,755,560,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,610,755,560,705 is 31273924080.
Find LCM of 516,610,755,560,705 with Prime Factorization
2 | 516, 610, 755, 560, 705 |
2 | 258, 305, 755, 280, 705 |
3 | 129, 305, 755, 140, 705 |
5 | 43, 305, 755, 140, 235 |
43, 61, 151, 28, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 61 x 151 x 28 x 47 = 31273924080
Therefore, the lowest common multiple of 516,610,755,560,705 is 31273924080.
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 610 x 755 x 560 x 705 = 93821772240000
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
610 : 1, 2, 5, 10, 61, 122, 305, 610
755 : 1, 5, 151, 755
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,610,755,560,705, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
610:2x 5x 61
755:5x 151
560:2x 2x 2x 2x 5x 7
705:3x 5x 47
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 3x 5x 5x 5 = 3000
Therefore, the value for common factors is 3000.
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 = 93821772240000/(1x3000)
LCM = 93821772240000/3000
LCM = 31273924080
Thus, we can understand that the LCM of 516,610,755,560,705 is 31273924080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 516, 610, 755, 560, 705?
Answer: LCM of 516, 610, 755, 560, 705 is 31273924080.
2. How to calculate the LCM of 516, 610, 755, 560, 705?
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, 610, 755, 560, 705.
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}.