LCM of 596, 374, 870, 507, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 374, 870, 507, 395 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, 374, 870, 507, 395. So, keep reading to learn more.
Given numbers are 596,374,870,507,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,374,870,507,395 is 647278108620.
Find LCM of 596,374,870,507,395 with Prime Factorization
| 2 | 596, 374, 870, 507, 395 |
| 3 | 298, 187, 435, 507, 395 |
| 5 | 298, 187, 145, 169, 395 |
| 298, 187, 29, 169, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 298 x 187 x 29 x 169 x 79 = 647278108620
Therefore, the lowest common multiple of 596,374,870,507,395 is 647278108620.
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 374 x 870 x 507 x 395 = 38836686517200
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
507 : 1, 3, 13, 39, 169, 507
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,374,870,507,395, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
374:2x 11x 17
870:2x 3x 5x 29
507:3x 13x 13
395:5x 79
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 38836686517200/(1x60)
LCM = 38836686517200/60
LCM = 647278108620
Thus, we can understand that the LCM of 596,374,870,507,395 is 647278108620.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 596, 374, 870, 507, 395
1. What is the LCM of 596, 374, 870, 507, 395?
Answer: LCM of 596, 374, 870, 507, 395 is 647278108620.
2. How to calculate the LCM of 596, 374, 870, 507, 395?
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, 374, 870, 507, 395.
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}.