LCM of 390, 866, 745, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 866, 745, 416 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, 866, 745, 416. So, keep reading to learn more.
Given numbers are 390,866,745,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,866,745,416 is 402586080.
Find LCM of 390,866,745,416 with Prime Factorization
| 2 | 390, 866, 745, 416 |
| 5 | 195, 433, 745, 208 |
| 13 | 39, 433, 149, 208 |
| 3, 433, 149, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 3 x 433 x 149 x 16 = 402586080
Therefore, the lowest common multiple of 390,866,745,416 is 402586080.
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 866 x 745 x 416 = 104672380800
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
866 : 1, 2, 433, 866
745 : 1, 5, 149, 745
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,866,745,416, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
866:2x 433
745:5x 149
416:2x 2x 2x 2x 2x 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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 104672380800/(1x260)
LCM = 104672380800/260
LCM = 402586080
Thus, we can understand that the LCM of 390,866,745,416 is 402586080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 390, 866, 745, 416
1. What is the LCM of 390, 866, 745, 416?
Answer: LCM of 390, 866, 745, 416 is 402586080.
2. How to calculate the LCM of 390, 866, 745, 416?
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, 866, 745, 416.
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}.