LCM of 398, 169, 104, 264, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 169, 104, 264, 858 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 398, 169, 104, 264, 858. So, keep reading to learn more.
Given numbers are 398,169,104,264,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,169,104,264,858 is 8878584.
Find LCM of 398,169,104,264,858 with Prime Factorization
| 2 | 398, 169, 104, 264, 858 |
| 2 | 199, 169, 52, 132, 429 |
| 2 | 199, 169, 26, 66, 429 |
| 3 | 199, 169, 13, 33, 429 |
| 11 | 199, 169, 13, 11, 143 |
| 13 | 199, 169, 13, 1, 13 |
| 199, 1, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 199 x 1 x 1 x 1 x 13 = 8878584
Therefore, the lowest common multiple of 398,169,104,264,858 is 8878584.
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.
398 x 169 x 104 x 264 x 858 = 1584507614976
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.
398 : 1, 2, 199, 398
169 : 1, 13, 169
104 : 1, 2, 4, 8, 13, 26, 52, 104
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,169,104,264,858, is 1.
Now, the common factors can be found like this.
398:2x 199
169:13x 13
104:2x 2x 2x 13
264:2x 2x 2x 3x 11
858:2x 3x 11x 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 2x 3x 11x 13x 13 = 178464
Therefore, the value for common factors is 178464.
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 = 1584507614976/(1x178464)
LCM = 1584507614976/178464
LCM = 8878584
Thus, we can understand that the LCM of 398,169,104,264,858 is 8878584.
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FAQs on LCM of 398, 169, 104, 264, 858
1. What is the LCM of 398, 169, 104, 264, 858?
Answer: LCM of 398, 169, 104, 264, 858 is 8878584.
2. How to calculate the LCM of 398, 169, 104, 264, 858?
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 398, 169, 104, 264, 858.
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}.