Find the LCM of 572, 220, 924, 596, 575 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 572, 220, 924, 596, 575. So, keep reading to learn more.
Given numbers are 572,220,924,596,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,220,924,596,575 is 1029128100.
Find LCM of 572,220,924,596,575 with Prime Factorization
2 | 572, 220, 924, 596, 575 |
2 | 286, 110, 462, 298, 575 |
5 | 143, 55, 231, 149, 575 |
11 | 143, 11, 231, 149, 115 |
13, 1, 21, 149, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 1 x 21 x 149 x 115 = 1029128100
Therefore, the lowest common multiple of 572,220,924,596,575 is 1029128100.
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.
572 x 220 x 924 x 596 x 575 = 39847840032000
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
596 : 1, 2, 4, 149, 298, 596
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,220,924,596,575, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
220:2x 2x 5x 11
924:2x 2x 3x 7x 11
596:2x 2x 149
575:5x 5x 23
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 2x 2x 2x 5x 11x 11 = 38720
Therefore, the value for common factors is 38720.
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 = 39847840032000/(1x38720)
LCM = 39847840032000/38720
LCM = 1029128100
Thus, we can understand that the LCM of 572,220,924,596,575 is 1029128100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 220, 924, 596, 575?
Answer: LCM of 572, 220, 924, 596, 575 is 1029128100.
2. How to calculate the LCM of 572, 220, 924, 596, 575?
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 572, 220, 924, 596, 575.
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}.