LCM of 416, 731, 765, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 731, 765, 780 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, 731, 765, 780. So, keep reading to learn more.
Given numbers are 416,731,765,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,731,765,780 is 13684320.
Find LCM of 416,731,765,780 with Prime Factorization
| 2 | 416, 731, 765, 780 |
| 2 | 208, 731, 765, 390 |
| 3 | 104, 731, 765, 195 |
| 5 | 104, 731, 255, 65 |
| 13 | 104, 731, 51, 13 |
| 17 | 8, 731, 51, 1 |
| 8, 43, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 17 x 8 x 43 x 3 x 1 = 13684320
Therefore, the lowest common multiple of 416,731,765,780 is 13684320.
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 731 x 765 x 780 = 181454083200
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
731 : 1, 17, 43, 731
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,731,765,780, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
731:17x 43
765:3x 3x 5x 17
780:2x 2x 3x 5x 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 3x 5x 13x 17 = 13260
Therefore, the value for common factors is 13260.
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 = 181454083200/(1x13260)
LCM = 181454083200/13260
LCM = 13684320
Thus, we can understand that the LCM of 416,731,765,780 is 13684320.
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FAQs on LCM of 416, 731, 765, 780
1. What is the LCM of 416, 731, 765, 780?
Answer: LCM of 416, 731, 765, 780 is 13684320.
2. How to calculate the LCM of 416, 731, 765, 780?
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, 731, 765, 780.
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}.