Find the LCM of 856, 496, 715, 806, 692 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 856, 496, 715, 806, 692. So, keep reading to learn more.
Given numbers are 856,496,715,806,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,496,715,806,692 is 6564741040.
Find LCM of 856,496,715,806,692 with Prime Factorization
2 | 856, 496, 715, 806, 692 |
2 | 428, 248, 715, 403, 346 |
2 | 214, 124, 715, 403, 173 |
13 | 107, 62, 715, 403, 173 |
31 | 107, 62, 55, 31, 173 |
107, 2, 55, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 31 x 107 x 2 x 55 x 1 x 173 = 6564741040
Therefore, the lowest common multiple of 856,496,715,806,692 is 6564741040.
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.
856 x 496 x 715 x 806 x 692 = 169317800903680
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
715 : 1, 5, 11, 13, 55, 65, 143, 715
806 : 1, 2, 13, 26, 31, 62, 403, 806
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,496,715,806,692, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
496:2x 2x 2x 2x 31
715:5x 11x 13
806:2x 13x 31
692:2x 2x 173
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 2x 13x 31 = 25792
Therefore, the value for common factors is 25792.
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 = 169317800903680/(1x25792)
LCM = 169317800903680/25792
LCM = 6564741040
Thus, we can understand that the LCM of 856,496,715,806,692 is 6564741040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 856, 496, 715, 806, 692?
Answer: LCM of 856, 496, 715, 806, 692 is 6564741040.
2. How to calculate the LCM of 856, 496, 715, 806, 692?
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 856, 496, 715, 806, 692.
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}.