Find the LCM of 705, 986, 575, 715, 403 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 705, 986, 575, 715, 403. So, keep reading to learn more.
Given numbers are 705,986,575,715,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,986,575,715,403 is 354373798350.
Find LCM of 705,986,575,715,403 with Prime Factorization
5 | 705, 986, 575, 715, 403 |
13 | 141, 986, 115, 143, 403 |
141, 986, 115, 11, 31 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 141 x 986 x 115 x 11 x 31 = 354373798350
Therefore, the lowest common multiple of 705,986,575,715,403 is 354373798350.
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.
705 x 986 x 575 x 715 x 403 = 115171484463750
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
986 : 1, 2, 17, 29, 34, 58, 493, 986
575 : 1, 5, 23, 25, 115, 575
715 : 1, 5, 11, 13, 55, 65, 143, 715
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,986,575,715,403, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
986:2x 17x 29
575:5x 5x 23
715:5x 11x 13
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 13 = 325
Therefore, the value for common factors is 325.
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 = 115171484463750/(1x325)
LCM = 115171484463750/325
LCM = 354373798350
Thus, we can understand that the LCM of 705,986,575,715,403 is 354373798350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 986, 575, 715, 403?
Answer: LCM of 705, 986, 575, 715, 403 is 354373798350.
2. How to calculate the LCM of 705, 986, 575, 715, 403?
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 705, 986, 575, 715, 403.
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}.