Find the LCM of 216, 303, 379, 921, 379 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 216, 303, 379, 921, 379. So, keep reading to learn more.
Given numbers are 216,303,379,921,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,303,379,921,379 is 2538357048.
Find LCM of 216,303,379,921,379 with Prime Factorization
3 | 216, 303, 379, 921, 379 |
379 | 72, 101, 379, 307, 379 |
72, 101, 1, 307, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 379 x 72 x 101 x 1 x 307 x 1 = 2538357048
Therefore, the lowest common multiple of 216,303,379,921,379 is 2538357048.
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.
216 x 303 x 379 x 921 x 379 = 8658335890728
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
303 : 1, 3, 101, 303
379 : 1, 379
921 : 1, 3, 307, 921
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,303,379,921,379, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
303:3x 101
379:379
921:3x 307
379:379
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 379 = 3411
Therefore, the value for common factors is 3411.
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 = 8658335890728/(1x3411)
LCM = 8658335890728/3411
LCM = 2538357048
Thus, we can understand that the LCM of 216,303,379,921,379 is 2538357048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 216, 303, 379, 921, 379?
Answer: LCM of 216, 303, 379, 921, 379 is 2538357048.
2. How to calculate the LCM of 216, 303, 379, 921, 379?
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 216, 303, 379, 921, 379.
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}.