Find the LCM of 633, 748, 680, 340, 405 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 633, 748, 680, 340, 405. So, keep reading to learn more.
Given numbers are 633,748,680,340,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,748,680,340,405 is 127840680.
Find LCM of 633,748,680,340,405 with Prime Factorization
2 | 633, 748, 680, 340, 405 |
2 | 633, 374, 340, 170, 405 |
3 | 633, 187, 85, 170, 405 |
5 | 211, 187, 85, 170, 135 |
17 | 211, 187, 17, 34, 27 |
211, 11, 1, 2, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 211 x 11 x 1 x 2 x 27 = 127840680
Therefore, the lowest common multiple of 633,748,680,340,405 is 127840680.
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.
633 x 748 x 680 x 340 x 405 = 44335147824000
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.
633 : 1, 3, 211, 633
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,748,680,340,405, is 1.
Now, the common factors can be found like this.
633:3x 211
748:2x 2x 11x 17
680:2x 2x 2x 5x 17
340:2x 2x 5x 17
405:3x 3x 3x 3x 5
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 3x 5x 5x 17x 17 = 346800
Therefore, the value for common factors is 346800.
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 = 44335147824000/(1x346800)
LCM = 44335147824000/346800
LCM = 127840680
Thus, we can understand that the LCM of 633,748,680,340,405 is 127840680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 633, 748, 680, 340, 405?
Answer: LCM of 633, 748, 680, 340, 405 is 127840680.
2. How to calculate the LCM of 633, 748, 680, 340, 405?
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 633, 748, 680, 340, 405.
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}.