LCM of 509, 524, 780, 464, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 524, 780, 464, 416 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 509, 524, 780, 464, 416. So, keep reading to learn more.
Given numbers are 509,524,780,464,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,524,780,464,416 is 12066231840.
Find LCM of 509,524,780,464,416 with Prime Factorization
| 2 | 509, 524, 780, 464, 416 |
| 2 | 509, 262, 390, 232, 208 |
| 2 | 509, 131, 195, 116, 104 |
| 2 | 509, 131, 195, 58, 52 |
| 13 | 509, 131, 195, 29, 26 |
| 509, 131, 15, 29, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 509 x 131 x 15 x 29 x 2 = 12066231840
Therefore, the lowest common multiple of 509,524,780,464,416 is 12066231840.
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.
509 x 524 x 780 x 464 x 416 = 40156419563520
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.
509 : 1, 509
524 : 1, 2, 4, 131, 262, 524
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,524,780,464,416, is 1.
Now, the common factors can be found like this.
509:509
524:2x 2x 131
780:2x 2x 3x 5x 13
464:2x 2x 2x 2x 29
416:2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 13 = 3328
Therefore, the value for common factors is 3328.
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 = 40156419563520/(1x3328)
LCM = 40156419563520/3328
LCM = 12066231840
Thus, we can understand that the LCM of 509,524,780,464,416 is 12066231840.
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FAQs on LCM of 509, 524, 780, 464, 416
1. What is the LCM of 509, 524, 780, 464, 416?
Answer: LCM of 509, 524, 780, 464, 416 is 12066231840.
2. How to calculate the LCM of 509, 524, 780, 464, 416?
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 509, 524, 780, 464, 416.
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}.