Find the LCM of 596, 578, 747, 108, 782 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 596, 578, 747, 108, 782. So, keep reading to learn more.
Given numbers are 596,578,747,108,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,578,747,108,782 is 8877972492.
Find LCM of 596,578,747,108,782 with Prime Factorization
2 | 596, 578, 747, 108, 782 |
2 | 298, 289, 747, 54, 391 |
3 | 149, 289, 747, 27, 391 |
3 | 149, 289, 249, 9, 391 |
17 | 149, 289, 83, 3, 391 |
149, 17, 83, 3, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 149 x 17 x 83 x 3 x 23 = 8877972492
Therefore, the lowest common multiple of 596,578,747,108,782 is 8877972492.
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.
596 x 578 x 747 x 108 x 782 = 21733276660416
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.
596 : 1, 2, 4, 149, 298, 596
578 : 1, 2, 17, 34, 289, 578
747 : 1, 3, 9, 83, 249, 747
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,578,747,108,782, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
578:2x 17x 17
747:3x 3x 83
108:2x 2x 3x 3x 3
782:2x 17x 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 3x 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 21733276660416/(1x2448)
LCM = 21733276660416/2448
LCM = 8877972492
Thus, we can understand that the LCM of 596,578,747,108,782 is 8877972492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 578, 747, 108, 782?
Answer: LCM of 596, 578, 747, 108, 782 is 8877972492.
2. How to calculate the LCM of 596, 578, 747, 108, 782?
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 596, 578, 747, 108, 782.
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}.