Find the LCM of 570, 680, 892, 235, 493 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 570, 680, 892, 235, 493. So, keep reading to learn more.
Given numbers are 570,680,892,235,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,680,892,235,493 is 11781063240.
Find LCM of 570,680,892,235,493 with Prime Factorization
2 | 570, 680, 892, 235, 493 |
2 | 285, 340, 446, 235, 493 |
5 | 285, 170, 223, 235, 493 |
17 | 57, 34, 223, 47, 493 |
57, 2, 223, 47, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 57 x 2 x 223 x 47 x 29 = 11781063240
Therefore, the lowest common multiple of 570,680,892,235,493 is 11781063240.
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.
570 x 680 x 892 x 235 x 493 = 40055615016000
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
892 : 1, 2, 4, 223, 446, 892
235 : 1, 5, 47, 235
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,680,892,235,493, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
680:2x 2x 2x 5x 17
892:2x 2x 223
235:5x 47
493:17x 29
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 17 = 3400
Therefore, the value for common factors is 3400.
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 = 40055615016000/(1x3400)
LCM = 40055615016000/3400
LCM = 11781063240
Thus, we can understand that the LCM of 570,680,892,235,493 is 11781063240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 570, 680, 892, 235, 493?
Answer: LCM of 570, 680, 892, 235, 493 is 11781063240.
2. How to calculate the LCM of 570, 680, 892, 235, 493?
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 570, 680, 892, 235, 493.
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}.