LCM of 707, 985, 728, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 985, 728, 468 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 707, 985, 728, 468. So, keep reading to learn more.
Given numbers are 707,985,728,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,985,728,468 is 651825720.
Find LCM of 707,985,728,468 with Prime Factorization
| 2 | 707, 985, 728, 468 |
| 2 | 707, 985, 364, 234 |
| 7 | 707, 985, 182, 117 |
| 13 | 101, 985, 26, 117 |
| 101, 985, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 101 x 985 x 2 x 9 = 651825720
Therefore, the lowest common multiple of 707,985,728,468 is 651825720.
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.
707 x 985 x 728 x 468 = 237264562080
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.
707 : 1, 7, 101, 707
985 : 1, 5, 197, 985
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,985,728,468, is 1.
Now, the common factors can be found like this.
707:7x 101
985:5x 197
728:2x 2x 2x 7x 13
468:2x 2x 3x 3x 13
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 237264562080/(1x364)
LCM = 237264562080/364
LCM = 651825720
Thus, we can understand that the LCM of 707,985,728,468 is 651825720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 707, 985, 728, 468
1. What is the LCM of 707, 985, 728, 468?
Answer: LCM of 707, 985, 728, 468 is 651825720.
2. How to calculate the LCM of 707, 985, 728, 468?
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 707, 985, 728, 468.
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}.