Find the LCM of 620, 585, 783, 715, 961 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 620, 585, 783, 715, 961. So, keep reading to learn more.
Given numbers are 620,585,783,715,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,585,783,715,961 is 2152044180.
Find LCM of 620,585,783,715,961 with Prime Factorization
3 | 620, 585, 783, 715, 961 |
3 | 620, 195, 261, 715, 961 |
5 | 620, 65, 87, 715, 961 |
13 | 124, 13, 87, 143, 961 |
31 | 124, 1, 87, 11, 961 |
4, 1, 87, 11, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 31 x 4 x 1 x 87 x 11 x 31 = 2152044180
Therefore, the lowest common multiple of 620,585,783,715,961 is 2152044180.
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.
620 x 585 x 783 x 715 x 961 = 195136606021500
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
783 : 1, 3, 9, 27, 29, 87, 261, 783
715 : 1, 5, 11, 13, 55, 65, 143, 715
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,585,783,715,961, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
585:3x 3x 5x 13
783:3x 3x 3x 29
715:5x 11x 13
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 13x 31 = 90675
Therefore, the value for common factors is 90675.
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 = 195136606021500/(1x90675)
LCM = 195136606021500/90675
LCM = 2152044180
Thus, we can understand that the LCM of 620,585,783,715,961 is 2152044180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 620, 585, 783, 715, 961?
Answer: LCM of 620, 585, 783, 715, 961 is 2152044180.
2. How to calculate the LCM of 620, 585, 783, 715, 961?
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 620, 585, 783, 715, 961.
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}.