Find the LCM of 531, 339, 850, 146, 572 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 531, 339, 850, 146, 572. So, keep reading to learn more.
Given numbers are 531,339,850,146,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,339,850,146,572 is 1064831238900.
Find LCM of 531,339,850,146,572 with Prime Factorization
2 | 531, 339, 850, 146, 572 |
3 | 531, 339, 425, 73, 286 |
177, 113, 425, 73, 286 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 177 x 113 x 425 x 73 x 286 = 1064831238900
Therefore, the lowest common multiple of 531,339,850,146,572 is 1064831238900.
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.
531 x 339 x 850 x 146 x 572 = 12777974866800
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.
531 : 1, 3, 9, 59, 177, 531
339 : 1, 3, 113, 339
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
146 : 1, 2, 73, 146
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,339,850,146,572, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
339:3x 113
850:2x 5x 5x 17
146:2x 73
572:2x 2x 11x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 12777974866800/(1x12)
LCM = 12777974866800/12
LCM = 1064831238900
Thus, we can understand that the LCM of 531,339,850,146,572 is 1064831238900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 339, 850, 146, 572?
Answer: LCM of 531, 339, 850, 146, 572 is 1064831238900.
2. How to calculate the LCM of 531, 339, 850, 146, 572?
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 531, 339, 850, 146, 572.
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}.