Find the LCM of 596, 759, 493, 870, 365 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, 759, 493, 870, 365. So, keep reading to learn more.
Given numbers are 596,759,493,870,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,759,493,870,365 is 81400639980.
Find LCM of 596,759,493,870,365 with Prime Factorization
2 | 596, 759, 493, 870, 365 |
3 | 298, 759, 493, 435, 365 |
5 | 298, 253, 493, 145, 365 |
29 | 298, 253, 493, 29, 73 |
298, 253, 17, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 298 x 253 x 17 x 1 x 73 = 81400639980
Therefore, the lowest common multiple of 596,759,493,870,365 is 81400639980.
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 759 x 493 x 870 x 365 = 70818556782600
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
493 : 1, 17, 29, 493
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,759,493,870,365, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
759:3x 11x 23
493:17x 29
870:2x 3x 5x 29
365:5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 29 = 870
Therefore, the value for common factors is 870.
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 = 70818556782600/(1x870)
LCM = 70818556782600/870
LCM = 81400639980
Thus, we can understand that the LCM of 596,759,493,870,365 is 81400639980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 759, 493, 870, 365?
Answer: LCM of 596, 759, 493, 870, 365 is 81400639980.
2. How to calculate the LCM of 596, 759, 493, 870, 365?
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, 759, 493, 870, 365.
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}.