Find the LCM of 210, 762, 921, 399, 511 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 210, 762, 921, 399, 511. So, keep reading to learn more.
Given numbers are 210,762,921,399,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,762,921,399,511 is 11356326030.
Find LCM of 210,762,921,399,511 with Prime Factorization
2 | 210, 762, 921, 399, 511 |
3 | 105, 381, 921, 399, 511 |
7 | 35, 127, 307, 133, 511 |
5, 127, 307, 19, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 5 x 127 x 307 x 19 x 73 = 11356326030
Therefore, the lowest common multiple of 210,762,921,399,511 is 11356326030.
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.
210 x 762 x 921 x 399 x 511 = 30048838675380
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
762 : 1, 2, 3, 6, 127, 254, 381, 762
921 : 1, 3, 307, 921
399 : 1, 3, 7, 19, 21, 57, 133, 399
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,762,921,399,511, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
762:2x 3x 127
921:3x 307
399:3x 7x 19
511:7x 73
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 3x 7x 7 = 2646
Therefore, the value for common factors is 2646.
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 = 30048838675380/(1x2646)
LCM = 30048838675380/2646
LCM = 11356326030
Thus, we can understand that the LCM of 210,762,921,399,511 is 11356326030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 210, 762, 921, 399, 511?
Answer: LCM of 210, 762, 921, 399, 511 is 11356326030.
2. How to calculate the LCM of 210, 762, 921, 399, 511?
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 210, 762, 921, 399, 511.
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}.