LCM of 555, 808, 722, 114, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 555, 808, 722, 114, 836 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 555, 808, 722, 114, 836. So, keep reading to learn more.
Given numbers are 555,808,722,114,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,808,722,114,836 is 1780755240.
Find LCM of 555,808,722,114,836 with Prime Factorization
| 2 | 555, 808, 722, 114, 836 |
| 2 | 555, 404, 361, 57, 418 |
| 3 | 555, 202, 361, 57, 209 |
| 19 | 185, 202, 361, 19, 209 |
| 185, 202, 1, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 185 x 202 x 1 x 19 x 11 = 1780755240
Therefore, the lowest common multiple of 555,808,722,114,836 is 1780755240.
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.
555 x 808 x 722 x 114 x 836 = 30856926798720
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
808 : 1, 2, 4, 8, 101, 202, 404, 808
722 : 1, 2, 19, 38, 361, 722
114 : 1, 2, 3, 6, 19, 38, 57, 114
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,808,722,114,836, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
808:2x 2x 2x 101
722:2x 19x 19
114:2x 3x 19
836:2x 2x 11x 19
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 19x 19 = 17328
Therefore, the value for common factors is 17328.
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 = 30856926798720/(1x17328)
LCM = 30856926798720/17328
LCM = 1780755240
Thus, we can understand that the LCM of 555,808,722,114,836 is 1780755240.
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FAQs on LCM of 555, 808, 722, 114, 836
1. What is the LCM of 555, 808, 722, 114, 836?
Answer: LCM of 555, 808, 722, 114, 836 is 1780755240.
2. How to calculate the LCM of 555, 808, 722, 114, 836?
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 555, 808, 722, 114, 836.
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}.