Find the LCM of 511, 284, 971, 450, 330 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 511, 284, 971, 450, 330. So, keep reading to learn more.
Given numbers are 511,284,971,450,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,284,971,450,330 is 348765624900.
Find LCM of 511,284,971,450,330 with Prime Factorization
2 | 511, 284, 971, 450, 330 |
3 | 511, 142, 971, 225, 165 |
5 | 511, 142, 971, 75, 55 |
511, 142, 971, 15, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 511 x 142 x 971 x 15 x 11 = 348765624900
Therefore, the lowest common multiple of 511,284,971,450,330 is 348765624900.
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.
511 x 284 x 971 x 450 x 330 = 20925937494000
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.
511 : 1, 7, 73, 511
284 : 1, 2, 4, 71, 142, 284
971 : 1, 971
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,284,971,450,330, is 1.
Now, the common factors can be found like this.
511:7x 73
284:2x 2x 71
971:971
450:2x 3x 3x 5x 5
330:2x 3x 5x 11
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 20925937494000/(1x60)
LCM = 20925937494000/60
LCM = 348765624900
Thus, we can understand that the LCM of 511,284,971,450,330 is 348765624900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 511, 284, 971, 450, 330?
Answer: LCM of 511, 284, 971, 450, 330 is 348765624900.
2. How to calculate the LCM of 511, 284, 971, 450, 330?
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 511, 284, 971, 450, 330.
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}.