LCM of 398, 290, 866, 393, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 290, 866, 393, 210 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, 290, 866, 393, 210. So, keep reading to learn more.
Given numbers are 398,290,866,393,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,290,866,393,210 is 68743170930.
Find LCM of 398,290,866,393,210 with Prime Factorization
| 2 | 398, 290, 866, 393, 210 |
| 3 | 199, 145, 433, 393, 105 |
| 5 | 199, 145, 433, 131, 35 |
| 199, 29, 433, 131, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 199 x 29 x 433 x 131 x 7 = 68743170930
Therefore, the lowest common multiple of 398,290,866,393,210 is 68743170930.
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 290 x 866 x 393 x 210 = 8249180511600
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
290 : 1, 2, 5, 10, 29, 58, 145, 290
866 : 1, 2, 433, 866
393 : 1, 3, 131, 393
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,290,866,393,210, is 1.
Now, the common factors can be found like this.
398:2x 199
290:2x 5x 29
866:2x 433
393:3x 131
210:2x 3x 5x 7
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 5 = 120
Therefore, the value for common factors is 120.
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 = 8249180511600/(1x120)
LCM = 8249180511600/120
LCM = 68743170930
Thus, we can understand that the LCM of 398,290,866,393,210 is 68743170930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 290, 866, 393, 210
1. What is the LCM of 398, 290, 866, 393, 210?
Answer: LCM of 398, 290, 866, 393, 210 is 68743170930.
2. How to calculate the LCM of 398, 290, 866, 393, 210?
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, 290, 866, 393, 210.
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}.