LCM of 513, 808, 707, 760, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 808, 707, 760, 414 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 513, 808, 707, 760, 414. So, keep reading to learn more.
Given numbers are 513,808,707,760,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,808,707,760,414 is 333675720.
Find LCM of 513,808,707,760,414 with Prime Factorization
| 2 | 513, 808, 707, 760, 414 |
| 2 | 513, 404, 707, 380, 207 |
| 2 | 513, 202, 707, 190, 207 |
| 3 | 513, 101, 707, 95, 207 |
| 3 | 171, 101, 707, 95, 69 |
| 19 | 57, 101, 707, 95, 23 |
| 101 | 3, 101, 707, 5, 23 |
| 3, 1, 7, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 19 x 101 x 3 x 1 x 7 x 5 x 23 = 333675720
Therefore, the lowest common multiple of 513,808,707,760,414 is 333675720.
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.
513 x 808 x 707 x 760 x 414 = 92206613761920
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
808 : 1, 2, 4, 8, 101, 202, 404, 808
707 : 1, 7, 101, 707
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,808,707,760,414, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
808:2x 2x 2x 101
707:7x 101
760:2x 2x 2x 5x 19
414:2x 3x 3x 23
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 3x 19x 101 = 276336
Therefore, the value for common factors is 276336.
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 = 92206613761920/(1x276336)
LCM = 92206613761920/276336
LCM = 333675720
Thus, we can understand that the LCM of 513,808,707,760,414 is 333675720.
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FAQs on LCM of 513, 808, 707, 760, 414
1. What is the LCM of 513, 808, 707, 760, 414?
Answer: LCM of 513, 808, 707, 760, 414 is 333675720.
2. How to calculate the LCM of 513, 808, 707, 760, 414?
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 513, 808, 707, 760, 414.
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}.