LCM of 215, 321, 480, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 215, 321, 480, 387 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 215, 321, 480, 387. So, keep reading to learn more.
Given numbers are 215,321,480,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 215,321,480,387 is 6625440.
Find LCM of 215,321,480,387 with Prime Factorization
| 3 | 215, 321, 480, 387 |
| 5 | 215, 107, 160, 129 |
| 43 | 43, 107, 32, 129 |
| 1, 107, 32, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 43 x 1 x 107 x 32 x 3 = 6625440
Therefore, the lowest common multiple of 215,321,480,387 is 6625440.
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.
215 x 321 x 480 x 387 = 12820226400
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.
215 : 1, 5, 43, 215
321 : 1, 3, 107, 321
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,321,480,387, is 1.
Now, the common factors can be found like this.
215:5x 43
321:3x 107
480:2x 2x 2x 2x 2x 3x 5
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 43 = 1935
Therefore, the value for common factors is 1935.
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 = 12820226400/(1x1935)
LCM = 12820226400/1935
LCM = 6625440
Thus, we can understand that the LCM of 215,321,480,387 is 6625440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 215, 321, 480, 387
1. What is the LCM of 215, 321, 480, 387?
Answer: LCM of 215, 321, 480, 387 is 6625440.
2. How to calculate the LCM of 215, 321, 480, 387?
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 215, 321, 480, 387.
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}.