Find the LCM of 975, 105, 264, 200, 593 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 975, 105, 264, 200, 593. So, keep reading to learn more.
Given numbers are 975,105,264,200,593
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,105,264,200,593 is 356155800.
Find LCM of 975,105,264,200,593 with Prime Factorization
2 | 975, 105, 264, 200, 593 |
2 | 975, 105, 132, 100, 593 |
2 | 975, 105, 66, 50, 593 |
3 | 975, 105, 33, 25, 593 |
5 | 325, 35, 11, 25, 593 |
5 | 65, 7, 11, 5, 593 |
13, 7, 11, 1, 593 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 13 x 7 x 11 x 1 x 593 = 356155800
Therefore, the lowest common multiple of 975,105,264,200,593 is 356155800.
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.
975 x 105 x 264 x 200 x 593 = 3205402200000
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
105 : 1, 3, 5, 7, 15, 21, 35, 105
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
593 : 1, 593
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,105,264,200,593, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
105:3x 5x 7
264:2x 2x 2x 3x 11
200:2x 2x 2x 5x 5
593:593
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 3x 3x 5x 5x 5 = 9000
Therefore, the value for common factors is 9000.
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 = 3205402200000/(1x9000)
LCM = 3205402200000/9000
LCM = 356155800
Thus, we can understand that the LCM of 975,105,264,200,593 is 356155800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 975, 105, 264, 200, 593?
Answer: LCM of 975, 105, 264, 200, 593 is 356155800.
2. How to calculate the LCM of 975, 105, 264, 200, 593?
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 975, 105, 264, 200, 593.
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}.