Find the LCM of 659, 767, 728, 965 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, 767, 728, 965. So, keep reading to learn more.
Given numbers are 659,767,728,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,767,728,965 is 27314680120.
Find LCM of 659,767,728,965 with Prime Factorization
13 | 659, 767, 728, 965 |
659, 59, 56, 965 |
Multiply the prime numbers at the bottom and the left side.
13 x 659 x 59 x 56 x 965 = 27314680120
Therefore, the lowest common multiple of 659,767,728,965 is 27314680120.
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 767 x 728 x 965 = 355090841560
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
767 : 1, 13, 59, 767
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,767,728,965, is 1.
Now, the common factors can be found like this.
659:659
767:13x 59
728:2x 2x 2x 7x 13
965:5x 193
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 = 355090841560/(1x13)
LCM = 355090841560/13
LCM = 27314680120
Thus, we can understand that the LCM of 659,767,728,965 is 27314680120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 767, 728, 965?
Answer: LCM of 659, 767, 728, 965 is 27314680120.
2. How to calculate the LCM of 659, 767, 728, 965?
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, 767, 728, 965.
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}.