Find the LCM of 582, 724, 724, 156, 513 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 582, 724, 724, 156, 513. So, keep reading to learn more.
Given numbers are 582,724,724,156,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,724,724,156,513 is 468350532.
Find LCM of 582,724,724,156,513 with Prime Factorization
2 | 582, 724, 724, 156, 513 |
2 | 291, 362, 362, 78, 513 |
3 | 291, 181, 181, 39, 513 |
181 | 97, 181, 181, 13, 171 |
97, 1, 1, 13, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 181 x 97 x 1 x 1 x 13 x 171 = 468350532
Therefore, the lowest common multiple of 582,724,724,156,513 is 468350532.
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.
582 x 724 x 724 x 156 x 513 = 24414176532096
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
724 : 1, 2, 4, 181, 362, 724
724 : 1, 2, 4, 181, 362, 724
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,724,724,156,513, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
724:2x 2x 181
724:2x 2x 181
156:2x 2x 3x 13
513:3x 3x 3x 19
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 3x 181 = 52128
Therefore, the value for common factors is 52128.
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 = 24414176532096/(1x52128)
LCM = 24414176532096/52128
LCM = 468350532
Thus, we can understand that the LCM of 582,724,724,156,513 is 468350532.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 724, 724, 156, 513?
Answer: LCM of 582, 724, 724, 156, 513 is 468350532.
2. How to calculate the LCM of 582, 724, 724, 156, 513?
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 582, 724, 724, 156, 513.
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}.