Find the LCM of 724, 913, 288, 581, 312 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 724, 913, 288, 581, 312. So, keep reading to learn more.
Given numbers are 724,913,288,581,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,913,288,581,312 is 4330950624.
Find LCM of 724,913,288,581,312 with Prime Factorization
2 | 724, 913, 288, 581, 312 |
2 | 362, 913, 144, 581, 156 |
2 | 181, 913, 72, 581, 78 |
3 | 181, 913, 36, 581, 39 |
83 | 181, 913, 12, 581, 13 |
181, 11, 12, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 83 x 181 x 11 x 12 x 7 x 13 = 4330950624
Therefore, the lowest common multiple of 724,913,288,581,312 is 4330950624.
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.
724 x 913 x 288 x 581 x 312 = 34509014572032
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.
724 : 1, 2, 4, 181, 362, 724
913 : 1, 11, 83, 913
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
581 : 1, 7, 83, 581
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,913,288,581,312, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
913:11x 83
288:2x 2x 2x 2x 2x 3x 3
581:7x 83
312:2x 2x 2x 3x 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 2x 2x 2x 3x 83 = 7968
Therefore, the value for common factors is 7968.
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 = 34509014572032/(1x7968)
LCM = 34509014572032/7968
LCM = 4330950624
Thus, we can understand that the LCM of 724,913,288,581,312 is 4330950624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 913, 288, 581, 312?
Answer: LCM of 724, 913, 288, 581, 312 is 4330950624.
2. How to calculate the LCM of 724, 913, 288, 581, 312?
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 724, 913, 288, 581, 312.
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}.