LCM of 390, 401, 867, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 401, 867, 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 390, 401, 867, 210. So, keep reading to learn more.
Given numbers are 390,401,867,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,401,867,210 is 316376970.
Find LCM of 390,401,867,210 with Prime Factorization
| 2 | 390, 401, 867, 210 |
| 3 | 195, 401, 867, 105 |
| 5 | 65, 401, 289, 35 |
| 13, 401, 289, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 401 x 289 x 7 = 316376970
Therefore, the lowest common multiple of 390,401,867,210 is 316376970.
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.
390 x 401 x 867 x 210 = 28473927300
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
401 : 1, 401
867 : 1, 3, 17, 51, 289, 867
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 390,401,867,210, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
401:401
867:3x 17x 17
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 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 28473927300/(1x90)
LCM = 28473927300/90
LCM = 316376970
Thus, we can understand that the LCM of 390,401,867,210 is 316376970.
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FAQs on LCM of 390, 401, 867, 210
1. What is the LCM of 390, 401, 867, 210?
Answer: LCM of 390, 401, 867, 210 is 316376970.
2. How to calculate the LCM of 390, 401, 867, 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 390, 401, 867, 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}.