Find the LCM of 659, 439, 767, 507, 545 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 659, 439, 767, 507, 545. So, keep reading to learn more.
Given numbers are 659,439,767,507,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,439,767,507,545 is 4716354143085.
Find LCM of 659,439,767,507,545 with Prime Factorization
13 | 659, 439, 767, 507, 545 |
659, 439, 59, 39, 545 |
Multiply the prime numbers at the bottom and the left side.
13 x 659 x 439 x 59 x 39 x 545 = 4716354143085
Therefore, the lowest common multiple of 659,439,767,507,545 is 4716354143085.
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.
659 x 439 x 767 x 507 x 545 = 61312603860105
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.
659 : 1, 659
439 : 1, 439
767 : 1, 13, 59, 767
507 : 1, 3, 13, 39, 169, 507
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,439,767,507,545, is 1.
Now, the common factors can be found like this.
659:659
439:439
767:13x 59
507:3x 13x 13
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 61312603860105/(1x13)
LCM = 61312603860105/13
LCM = 4716354143085
Thus, we can understand that the LCM of 659,439,767,507,545 is 4716354143085.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 439, 767, 507, 545?
Answer: LCM of 659, 439, 767, 507, 545 is 4716354143085.
2. How to calculate the LCM of 659, 439, 767, 507, 545?
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 659, 439, 767, 507, 545.
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}.