LCM of 416, 801, 302, 780, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 801, 302, 780, 910 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, 801, 302, 780, 910. So, keep reading to learn more.
Given numbers are 416,801,302,780,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,801,302,780,910 is 1761046560.
Find LCM of 416,801,302,780,910 with Prime Factorization
| 2 | 416, 801, 302, 780, 910 |
| 2 | 208, 801, 151, 390, 455 |
| 3 | 104, 801, 151, 195, 455 |
| 5 | 104, 267, 151, 65, 455 |
| 13 | 104, 267, 151, 13, 91 |
| 8, 267, 151, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 8 x 267 x 151 x 1 x 7 = 1761046560
Therefore, the lowest common multiple of 416,801,302,780,910 is 1761046560.
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 801 x 302 x 780 x 910 = 71428048473600
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
801 : 1, 3, 9, 89, 267, 801
302 : 1, 2, 151, 302
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
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,801,302,780,910, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
801:3x 3x 89
302:2x 151
780:2x 2x 3x 5x 13
910:2x 5x 7x 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 3x 5x 13x 13 = 40560
Therefore, the value for common factors is 40560.
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 = 71428048473600/(1x40560)
LCM = 71428048473600/40560
LCM = 1761046560
Thus, we can understand that the LCM of 416,801,302,780,910 is 1761046560.
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FAQs on LCM of 416, 801, 302, 780, 910
1. What is the LCM of 416, 801, 302, 780, 910?
Answer: LCM of 416, 801, 302, 780, 910 is 1761046560.
2. How to calculate the LCM of 416, 801, 302, 780, 910?
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, 801, 302, 780, 910.
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}.