Find the LCM of 308, 165, 659, 440, 650 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 308, 165, 659, 440, 650. So, keep reading to learn more.
Given numbers are 308,165,659,440,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,165,659,440,650 is 395795400.
Find LCM of 308,165,659,440,650 with Prime Factorization
2 | 308, 165, 659, 440, 650 |
2 | 154, 165, 659, 220, 325 |
5 | 77, 165, 659, 110, 325 |
11 | 77, 33, 659, 22, 65 |
7, 3, 659, 2, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 7 x 3 x 659 x 2 x 65 = 395795400
Therefore, the lowest common multiple of 308,165,659,440,650 is 395795400.
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.
308 x 165 x 659 x 440 x 650 = 9578248680000
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
165 : 1, 3, 5, 11, 15, 33, 55, 165
659 : 1, 659
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,165,659,440,650, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
165:3x 5x 11
659:659
440:2x 2x 2x 5x 11
650:2x 5x 5x 13
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 5x 5x 11x 11 = 24200
Therefore, the value for common factors is 24200.
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 = 9578248680000/(1x24200)
LCM = 9578248680000/24200
LCM = 395795400
Thus, we can understand that the LCM of 308,165,659,440,650 is 395795400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 165, 659, 440, 650?
Answer: LCM of 308, 165, 659, 440, 650 is 395795400.
2. How to calculate the LCM of 308, 165, 659, 440, 650?
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 308, 165, 659, 440, 650.
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}.