Find the LCM of 497, 715, 258, 792, 312 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 497, 715, 258, 792, 312. So, keep reading to learn more.
Given numbers are 497,715,258,792,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,715,258,792,312 is 1100179080.
Find LCM of 497,715,258,792,312 with Prime Factorization
2 | 497, 715, 258, 792, 312 |
2 | 497, 715, 129, 396, 156 |
2 | 497, 715, 129, 198, 78 |
3 | 497, 715, 129, 99, 39 |
11 | 497, 715, 43, 33, 13 |
13 | 497, 65, 43, 3, 13 |
497, 5, 43, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 497 x 5 x 43 x 3 x 1 = 1100179080
Therefore, the lowest common multiple of 497,715,258,792,312 is 1100179080.
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.
497 x 715 x 258 x 792 x 312 = 22654887615360
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.
497 : 1, 7, 71, 497
715 : 1, 5, 11, 13, 55, 65, 143, 715
258 : 1, 2, 3, 6, 43, 86, 129, 258
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,715,258,792,312, is 1.
Now, the common factors can be found like this.
497:7x 71
715:5x 11x 13
258:2x 3x 43
792:2x 2x 2x 3x 3x 11
312:2x 2x 2x 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 2x 2x 3x 3x 11x 13 = 20592
Therefore, the value for common factors is 20592.
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 = 22654887615360/(1x20592)
LCM = 22654887615360/20592
LCM = 1100179080
Thus, we can understand that the LCM of 497,715,258,792,312 is 1100179080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 715, 258, 792, 312?
Answer: LCM of 497, 715, 258, 792, 312 is 1100179080.
2. How to calculate the LCM of 497, 715, 258, 792, 312?
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 497, 715, 258, 792, 312.
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}.