LCM of 570, 506, 682, 286, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 506, 682, 286, 611 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 570, 506, 682, 286, 611. So, keep reading to learn more.
Given numbers are 570,506,682,286,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,506,682,286,611 is 2731481610.
Find LCM of 570,506,682,286,611 with Prime Factorization
| 2 | 570, 506, 682, 286, 611 |
| 11 | 285, 253, 341, 143, 611 |
| 13 | 285, 23, 31, 13, 611 |
| 285, 23, 31, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 285 x 23 x 31 x 1 x 47 = 2731481610
Therefore, the lowest common multiple of 570,506,682,286,611 is 2731481610.
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.
570 x 506 x 682 x 286 x 611 = 34372964580240
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
506 : 1, 2, 11, 22, 23, 46, 253, 506
682 : 1, 2, 11, 22, 31, 62, 341, 682
286 : 1, 2, 11, 13, 22, 26, 143, 286
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,506,682,286,611, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
506:2x 11x 23
682:2x 11x 31
286:2x 11x 13
611:13x 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 11x 11x 13 = 12584
Therefore, the value for common factors is 12584.
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 = 34372964580240/(1x12584)
LCM = 34372964580240/12584
LCM = 2731481610
Thus, we can understand that the LCM of 570,506,682,286,611 is 2731481610.
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FAQs on LCM of 570, 506, 682, 286, 611
1. What is the LCM of 570, 506, 682, 286, 611?
Answer: LCM of 570, 506, 682, 286, 611 is 2731481610.
2. How to calculate the LCM of 570, 506, 682, 286, 611?
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 570, 506, 682, 286, 611.
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}.