LCM of 719, 507, 509, 416, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 507, 509, 416, 856 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 719, 507, 509, 416, 856. So, keep reading to learn more.
Given numbers are 719,507,509,416,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,507,509,416,856 is 635313944928.
Find LCM of 719,507,509,416,856 with Prime Factorization
| 2 | 719, 507, 509, 416, 856 |
| 2 | 719, 507, 509, 208, 428 |
| 2 | 719, 507, 509, 104, 214 |
| 13 | 719, 507, 509, 52, 107 |
| 719, 39, 509, 4, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 719 x 39 x 509 x 4 x 107 = 635313944928
Therefore, the lowest common multiple of 719,507,509,416,856 is 635313944928.
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.
719 x 507 x 509 x 416 x 856 = 66072650272512
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.
719 : 1, 719
507 : 1, 3, 13, 39, 169, 507
509 : 1, 509
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,507,509,416,856, is 1.
Now, the common factors can be found like this.
719:719
507:3x 13x 13
509:509
416:2x 2x 2x 2x 2x 13
856:2x 2x 2x 107
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 13 = 104
Therefore, the value for common factors is 104.
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 = 66072650272512/(1x104)
LCM = 66072650272512/104
LCM = 635313944928
Thus, we can understand that the LCM of 719,507,509,416,856 is 635313944928.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 719, 507, 509, 416, 856
1. What is the LCM of 719, 507, 509, 416, 856?
Answer: LCM of 719, 507, 509, 416, 856 is 635313944928.
2. How to calculate the LCM of 719, 507, 509, 416, 856?
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 719, 507, 509, 416, 856.
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}.