Find the LCM of 844, 902, 561, 518, 408 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 844, 902, 561, 518, 408. So, keep reading to learn more.
Given numbers are 844,902,561,518,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,902,561,518,408 is 10055853192.
Find LCM of 844,902,561,518,408 with Prime Factorization
2 | 844, 902, 561, 518, 408 |
2 | 422, 451, 561, 259, 204 |
3 | 211, 451, 561, 259, 102 |
11 | 211, 451, 187, 259, 34 |
17 | 211, 41, 17, 259, 34 |
211, 41, 1, 259, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 211 x 41 x 1 x 259 x 2 = 10055853192
Therefore, the lowest common multiple of 844,902,561,518,408 is 10055853192.
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.
844 x 902 x 561 x 518 x 408 = 90261338251392
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.
844 : 1, 2, 4, 211, 422, 844
902 : 1, 2, 11, 22, 41, 82, 451, 902
561 : 1, 3, 11, 17, 33, 51, 187, 561
518 : 1, 2, 7, 14, 37, 74, 259, 518
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,902,561,518,408, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
902:2x 11x 41
561:3x 11x 17
518:2x 7x 37
408:2x 2x 2x 3x 17
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 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 90261338251392/(1x8976)
LCM = 90261338251392/8976
LCM = 10055853192
Thus, we can understand that the LCM of 844,902,561,518,408 is 10055853192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 844, 902, 561, 518, 408?
Answer: LCM of 844, 902, 561, 518, 408 is 10055853192.
2. How to calculate the LCM of 844, 902, 561, 518, 408?
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 844, 902, 561, 518, 408.
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}.