LCM of 369, 780, 446, 702, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 780, 446, 702, 449 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 369, 780, 446, 702, 449. So, keep reading to learn more.
Given numbers are 369,780,446,702,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,780,446,702,449 is 28818553140.
Find LCM of 369,780,446,702,449 with Prime Factorization
| 2 | 369, 780, 446, 702, 449 |
| 3 | 369, 390, 223, 351, 449 |
| 3 | 123, 130, 223, 117, 449 |
| 13 | 41, 130, 223, 39, 449 |
| 41, 10, 223, 3, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 41 x 10 x 223 x 3 x 449 = 28818553140
Therefore, the lowest common multiple of 369,780,446,702,449 is 28818553140.
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.
369 x 780 x 446 x 702 x 449 = 40461248608560
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.
369 : 1, 3, 9, 41, 123, 369
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
446 : 1, 2, 223, 446
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,780,446,702,449, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
780:2x 2x 3x 5x 13
446:2x 223
702:2x 3x 3x 3x 13
449:449
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 3x 3x 13 = 1404
Therefore, the value for common factors is 1404.
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 = 40461248608560/(1x1404)
LCM = 40461248608560/1404
LCM = 28818553140
Thus, we can understand that the LCM of 369,780,446,702,449 is 28818553140.
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FAQs on LCM of 369, 780, 446, 702, 449
1. What is the LCM of 369, 780, 446, 702, 449?
Answer: LCM of 369, 780, 446, 702, 449 is 28818553140.
2. How to calculate the LCM of 369, 780, 446, 702, 449?
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 369, 780, 446, 702, 449.
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}.