Find the LCM of 807, 730, 885, 915, 963 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 807, 730, 885, 915, 963. So, keep reading to learn more.
Given numbers are 807,730,885,915,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,730,885,915,963 is 680586411690.
Find LCM of 807,730,885,915,963 with Prime Factorization
3 | 807, 730, 885, 915, 963 |
5 | 269, 730, 295, 305, 321 |
269, 146, 59, 61, 321 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 269 x 146 x 59 x 61 x 321 = 680586411690
Therefore, the lowest common multiple of 807,730,885,915,963 is 680586411690.
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.
807 x 730 x 885 x 915 x 963 = 459395827890750
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.
807 : 1, 3, 269, 807
730 : 1, 2, 5, 10, 73, 146, 365, 730
885 : 1, 3, 5, 15, 59, 177, 295, 885
915 : 1, 3, 5, 15, 61, 183, 305, 915
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,730,885,915,963, is 1.
Now, the common factors can be found like this.
807:3x 269
730:2x 5x 73
885:3x 5x 59
915:3x 5x 61
963:3x 3x 107
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 3x 5x 5 = 675
Therefore, the value for common factors is 675.
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 = 459395827890750/(1x675)
LCM = 459395827890750/675
LCM = 680586411690
Thus, we can understand that the LCM of 807,730,885,915,963 is 680586411690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 807, 730, 885, 915, 963?
Answer: LCM of 807, 730, 885, 915, 963 is 680586411690.
2. How to calculate the LCM of 807, 730, 885, 915, 963?
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 807, 730, 885, 915, 963.
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}.