Find the LCM of 264, 494, 228, 507, 608 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 264, 494, 228, 507, 608. So, keep reading to learn more.
Given numbers are 264,494,228,507,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,494,228,507,608 is 3390816.
Find LCM of 264,494,228,507,608 with Prime Factorization
2 | 264, 494, 228, 507, 608 |
2 | 132, 247, 114, 507, 304 |
2 | 66, 247, 57, 507, 152 |
3 | 33, 247, 57, 507, 76 |
13 | 11, 247, 19, 169, 76 |
19 | 11, 19, 19, 13, 76 |
11, 1, 1, 13, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 19 x 11 x 1 x 1 x 13 x 4 = 3390816
Therefore, the lowest common multiple of 264,494,228,507,608 is 3390816.
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.
264 x 494 x 228 x 507 x 608 = 9165945305088
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
494 : 1, 2, 13, 19, 26, 38, 247, 494
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
507 : 1, 3, 13, 39, 169, 507
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,494,228,507,608, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
494:2x 13x 19
228:2x 2x 3x 19
507:3x 13x 13
608:2x 2x 2x 2x 2x 19
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 2x 2x 2x 2x 3x 3x 13x 19x 19 = 2703168
Therefore, the value for common factors is 2703168.
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 = 9165945305088/(1x2703168)
LCM = 9165945305088/2703168
LCM = 3390816
Thus, we can understand that the LCM of 264,494,228,507,608 is 3390816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 264, 494, 228, 507, 608?
Answer: LCM of 264, 494, 228, 507, 608 is 3390816.
2. How to calculate the LCM of 264, 494, 228, 507, 608?
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 264, 494, 228, 507, 608.
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}.