Find the LCM of 573, 323, 517, 418 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 573, 323, 517, 418. So, keep reading to learn more.
Given numbers are 573,323,517,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,323,517,418 is 191371686.
Find LCM of 573,323,517,418 with Prime Factorization
11 | 573, 323, 517, 418 |
19 | 573, 323, 47, 38 |
573, 17, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 573 x 17 x 47 x 2 = 191371686
Therefore, the lowest common multiple of 573,323,517,418 is 191371686.
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.
573 x 323 x 517 x 418 = 39996682374
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.
573 : 1, 3, 191, 573
323 : 1, 17, 19, 323
517 : 1, 11, 47, 517
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,323,517,418, is 1.
Now, the common factors can be found like this.
573:3x 191
323:17x 19
517:11x 47
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 39996682374/(1x209)
LCM = 39996682374/209
LCM = 191371686
Thus, we can understand that the LCM of 573,323,517,418 is 191371686.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 323, 517, 418?
Answer: LCM of 573, 323, 517, 418 is 191371686.
2. How to calculate the LCM of 573, 323, 517, 418?
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 573, 323, 517, 418.
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}.