Find the LCM of 684, 685, 441, 715, 448 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 684, 685, 441, 715, 448. So, keep reading to learn more.
Given numbers are 684,685,441,715,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,685,441,715,448 is 52528956480.
Find LCM of 684,685,441,715,448 with Prime Factorization
2 | 684, 685, 441, 715, 448 |
2 | 342, 685, 441, 715, 224 |
3 | 171, 685, 441, 715, 112 |
3 | 57, 685, 147, 715, 112 |
5 | 19, 685, 49, 715, 112 |
7 | 19, 137, 49, 143, 112 |
19, 137, 7, 143, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 19 x 137 x 7 x 143 x 16 = 52528956480
Therefore, the lowest common multiple of 684,685,441,715,448 is 52528956480.
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.
684 x 685 x 441 x 715 x 448 = 66186485164800
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
685 : 1, 5, 137, 685
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
715 : 1, 5, 11, 13, 55, 65, 143, 715
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,685,441,715,448, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
685:5x 137
441:3x 3x 7x 7
715:5x 11x 13
448:2x 2x 2x 2x 2x 2x 7
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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 66186485164800/(1x1260)
LCM = 66186485164800/1260
LCM = 52528956480
Thus, we can understand that the LCM of 684,685,441,715,448 is 52528956480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 685, 441, 715, 448?
Answer: LCM of 684, 685, 441, 715, 448 is 52528956480.
2. How to calculate the LCM of 684, 685, 441, 715, 448?
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 684, 685, 441, 715, 448.
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}.