Find the LCM of 722, 505, 646, 624, 338 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 722, 505, 646, 624, 338. So, keep reading to learn more.
Given numbers are 722,505,646,624,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,505,646,624,338 is 25140588720.
Find LCM of 722,505,646,624,338 with Prime Factorization
2 | 722, 505, 646, 624, 338 |
13 | 361, 505, 323, 312, 169 |
19 | 361, 505, 323, 24, 13 |
19, 505, 17, 24, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 19 x 505 x 17 x 24 x 13 = 25140588720
Therefore, the lowest common multiple of 722,505,646,624,338 is 25140588720.
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.
722 x 505 x 646 x 624 x 338 = 49677803310720
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.
722 : 1, 2, 19, 38, 361, 722
505 : 1, 5, 101, 505
646 : 1, 2, 17, 19, 34, 38, 323, 646
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,505,646,624,338, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
505:5x 101
646:2x 17x 19
624:2x 2x 2x 2x 3x 13
338:2x 13x 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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 49677803310720/(1x1976)
LCM = 49677803310720/1976
LCM = 25140588720
Thus, we can understand that the LCM of 722,505,646,624,338 is 25140588720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 505, 646, 624, 338?
Answer: LCM of 722, 505, 646, 624, 338 is 25140588720.
2. How to calculate the LCM of 722, 505, 646, 624, 338?
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 722, 505, 646, 624, 338.
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}.