Find the LCM of 446, 680, 517, 585, 748 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 446, 680, 517, 585, 748. So, keep reading to learn more.
Given numbers are 446,680,517,585,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,680,517,585,748 is 9172551960.
Find LCM of 446,680,517,585,748 with Prime Factorization
2 | 446, 680, 517, 585, 748 |
2 | 223, 340, 517, 585, 374 |
5 | 223, 170, 517, 585, 187 |
11 | 223, 34, 517, 117, 187 |
17 | 223, 34, 47, 117, 17 |
223, 2, 47, 117, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 17 x 223 x 2 x 47 x 117 x 1 = 9172551960
Therefore, the lowest common multiple of 446,680,517,585,748 is 9172551960.
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.
446 x 680 x 517 x 585 x 748 = 68610688660800
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.
446 : 1, 2, 223, 446
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
517 : 1, 11, 47, 517
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,680,517,585,748, is 1.
Now, the common factors can be found like this.
446:2x 223
680:2x 2x 2x 5x 17
517:11x 47
585:3x 3x 5x 13
748:2x 2x 11x 17
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 11x 17 = 7480
Therefore, the value for common factors is 7480.
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 = 68610688660800/(1x7480)
LCM = 68610688660800/7480
LCM = 9172551960
Thus, we can understand that the LCM of 446,680,517,585,748 is 9172551960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 446, 680, 517, 585, 748?
Answer: LCM of 446, 680, 517, 585, 748 is 9172551960.
2. How to calculate the LCM of 446, 680, 517, 585, 748?
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 446, 680, 517, 585, 748.
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}.