Find the LCM of 333, 266, 336, 508, 760 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 333, 266, 336, 508, 760. So, keep reading to learn more.
Given numbers are 333,266,336,508,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 333,266,336,508,760 is 449976240.
Find LCM of 333,266,336,508,760 with Prime Factorization
2 | 333, 266, 336, 508, 760 |
2 | 333, 133, 168, 254, 380 |
2 | 333, 133, 84, 127, 190 |
3 | 333, 133, 42, 127, 95 |
7 | 111, 133, 14, 127, 95 |
19 | 111, 19, 2, 127, 95 |
111, 1, 2, 127, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 19 x 111 x 1 x 2 x 127 x 5 = 449976240
Therefore, the lowest common multiple of 333,266,336,508,760 is 449976240.
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.
333 x 266 x 336 x 508 x 760 = 11490593264640
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.
333 : 1, 3, 9, 37, 111, 333
266 : 1, 2, 7, 14, 19, 38, 133, 266
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
508 : 1, 2, 4, 127, 254, 508
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,266,336,508,760, is 1.
Now, the common factors can be found like this.
333:3x 3x 37
266:2x 7x 19
336:2x 2x 2x 2x 3x 7
508:2x 2x 127
760:2x 2x 2x 5x 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 7x 19 = 25536
Therefore, the value for common factors is 25536.
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 = 11490593264640/(1x25536)
LCM = 11490593264640/25536
LCM = 449976240
Thus, we can understand that the LCM of 333,266,336,508,760 is 449976240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 333, 266, 336, 508, 760?
Answer: LCM of 333, 266, 336, 508, 760 is 449976240.
2. How to calculate the LCM of 333, 266, 336, 508, 760?
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 333, 266, 336, 508, 760.
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}.