Find the LCM of 207, 343, 713, 604, 372 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 207, 343, 713, 604, 372. So, keep reading to learn more.
Given numbers are 207,343,713,604,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 207,343,713,604,372 is 1329422724.
Find LCM of 207,343,713,604,372 with Prime Factorization
2 | 207, 343, 713, 604, 372 |
2 | 207, 343, 713, 302, 186 |
3 | 207, 343, 713, 151, 93 |
23 | 69, 343, 713, 151, 31 |
31 | 3, 343, 31, 151, 31 |
3, 343, 1, 151, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 31 x 3 x 343 x 1 x 151 x 1 = 1329422724
Therefore, the lowest common multiple of 207,343,713,604,372 is 1329422724.
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.
207 x 343 x 713 x 604 x 372 = 11374540826544
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.
207 : 1, 3, 9, 23, 69, 207
343 : 1, 7, 49, 343
713 : 1, 23, 31, 713
604 : 1, 2, 4, 151, 302, 604
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,343,713,604,372, is 1.
Now, the common factors can be found like this.
207:3x 3x 23
343:7x 7x 7
713:23x 31
604:2x 2x 151
372:2x 2x 3x 31
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 3x 23x 31 = 8556
Therefore, the value for common factors is 8556.
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 = 11374540826544/(1x8556)
LCM = 11374540826544/8556
LCM = 1329422724
Thus, we can understand that the LCM of 207,343,713,604,372 is 1329422724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 207, 343, 713, 604, 372?
Answer: LCM of 207, 343, 713, 604, 372 is 1329422724.
2. How to calculate the LCM of 207, 343, 713, 604, 372?
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 207, 343, 713, 604, 372.
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}.