LCM of 262, 451, 228, 779, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 451, 228, 779, 720 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 262, 451, 228, 779, 720. So, keep reading to learn more.
Given numbers are 262,451,228,779,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,451,228,779,720 is 808228080.
Find LCM of 262,451,228,779,720 with Prime Factorization
| 2 | 262, 451, 228, 779, 720 |
| 2 | 131, 451, 114, 779, 360 |
| 3 | 131, 451, 57, 779, 180 |
| 19 | 131, 451, 19, 779, 60 |
| 41 | 131, 451, 1, 41, 60 |
| 131, 11, 1, 1, 60 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 41 x 131 x 11 x 1 x 1 x 60 = 808228080
Therefore, the lowest common multiple of 262,451,228,779,720 is 808228080.
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.
262 x 451 x 228 x 779 x 720 = 15110632183680
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.
262 : 1, 2, 131, 262
451 : 1, 11, 41, 451
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
779 : 1, 19, 41, 779
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,451,228,779,720, is 1.
Now, the common factors can be found like this.
262:2x 131
451:11x 41
228:2x 2x 3x 19
779:19x 41
720:2x 2x 2x 2x 3x 3x 5
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 3x 19x 41 = 18696
Therefore, the value for common factors is 18696.
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 = 15110632183680/(1x18696)
LCM = 15110632183680/18696
LCM = 808228080
Thus, we can understand that the LCM of 262,451,228,779,720 is 808228080.
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FAQs on LCM of 262, 451, 228, 779, 720
1. What is the LCM of 262, 451, 228, 779, 720?
Answer: LCM of 262, 451, 228, 779, 720 is 808228080.
2. How to calculate the LCM of 262, 451, 228, 779, 720?
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 262, 451, 228, 779, 720.
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}.