LCM of 416, 932, 589, 546, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 932, 589, 546, 570 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 416, 932, 589, 546, 570. So, keep reading to learn more.
Given numbers are 416,932,589,546,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,932,589,546,570 is 5994512160.
Find LCM of 416,932,589,546,570 with Prime Factorization
| 2 | 416, 932, 589, 546, 570 |
| 2 | 208, 466, 589, 273, 285 |
| 3 | 104, 233, 589, 273, 285 |
| 13 | 104, 233, 589, 91, 95 |
| 19 | 8, 233, 589, 7, 95 |
| 8, 233, 31, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 8 x 233 x 31 x 7 x 5 = 5994512160
Therefore, the lowest common multiple of 416,932,589,546,570 is 5994512160.
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.
416 x 932 x 589 x 546 x 570 = 71070936168960
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
932 : 1, 2, 4, 233, 466, 932
589 : 1, 19, 31, 589
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,932,589,546,570, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
932:2x 2x 233
589:19x 31
546:2x 3x 7x 13
570:2x 3x 5x 19
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 2x 3x 13x 19 = 11856
Therefore, the value for common factors is 11856.
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 = 71070936168960/(1x11856)
LCM = 71070936168960/11856
LCM = 5994512160
Thus, we can understand that the LCM of 416,932,589,546,570 is 5994512160.
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FAQs on LCM of 416, 932, 589, 546, 570
1. What is the LCM of 416, 932, 589, 546, 570?
Answer: LCM of 416, 932, 589, 546, 570 is 5994512160.
2. How to calculate the LCM of 416, 932, 589, 546, 570?
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 416, 932, 589, 546, 570.
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}.