Find the LCM of 350, 713, 187, 637, 714 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 350, 713, 187, 637, 714. So, keep reading to learn more.
Given numbers are 350,713,187,637,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 350,713,187,637,714 is 12739777050.
Find LCM of 350,713,187,637,714 with Prime Factorization
2 | 350, 713, 187, 637, 714 |
7 | 175, 713, 187, 637, 357 |
17 | 25, 713, 187, 91, 51 |
25, 713, 11, 91, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 25 x 713 x 11 x 91 x 3 = 12739777050
Therefore, the lowest common multiple of 350,713,187,637,714 is 12739777050.
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.
350 x 713 x 187 x 637 x 714 = 21224468565300
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.
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
713 : 1, 23, 31, 713
187 : 1, 11, 17, 187
637 : 1, 7, 13, 49, 91, 637
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,713,187,637,714, is 1.
Now, the common factors can be found like this.
350:2x 5x 5x 7
713:23x 31
187:11x 17
637:7x 7x 13
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 17 = 1666
Therefore, the value for common factors is 1666.
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 = 21224468565300/(1x1666)
LCM = 21224468565300/1666
LCM = 12739777050
Thus, we can understand that the LCM of 350,713,187,637,714 is 12739777050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 350, 713, 187, 637, 714?
Answer: LCM of 350, 713, 187, 637, 714 is 12739777050.
2. How to calculate the LCM of 350, 713, 187, 637, 714?
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 350, 713, 187, 637, 714.
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}.