LCM of 888, 951, 608, 361, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 888, 951, 608, 361, 417 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 888, 951, 608, 361, 417. So, keep reading to learn more.
Given numbers are 888,951,608,361,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,951,608,361,417 is 56500751136.
Find LCM of 888,951,608,361,417 with Prime Factorization
| 2 | 888, 951, 608, 361, 417 |
| 2 | 444, 951, 304, 361, 417 |
| 2 | 222, 951, 152, 361, 417 |
| 3 | 111, 951, 76, 361, 417 |
| 19 | 37, 317, 76, 361, 139 |
| 37, 317, 4, 19, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 37 x 317 x 4 x 19 x 139 = 56500751136
Therefore, the lowest common multiple of 888,951,608,361,417 is 56500751136.
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.
888 x 951 x 608 x 361 x 417 = 77293027554048
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
951 : 1, 3, 317, 951
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
361 : 1, 19, 361
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,951,608,361,417, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
951:3x 317
608:2x 2x 2x 2x 2x 19
361:19x 19
417:3x 139
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 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 77293027554048/(1x1368)
LCM = 77293027554048/1368
LCM = 56500751136
Thus, we can understand that the LCM of 888,951,608,361,417 is 56500751136.
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FAQs on LCM of 888, 951, 608, 361, 417
1. What is the LCM of 888, 951, 608, 361, 417?
Answer: LCM of 888, 951, 608, 361, 417 is 56500751136.
2. How to calculate the LCM of 888, 951, 608, 361, 417?
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 888, 951, 608, 361, 417.
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}.