Find the LCM of 721, 629, 221, 314 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 721, 629, 221, 314. So, keep reading to learn more.
Given numbers are 721,629,221,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,629,221,314 is 1851223738.
Find LCM of 721,629,221,314 with Prime Factorization
17 | 721, 629, 221, 314 |
721, 37, 13, 314 |
Multiply the prime numbers at the bottom and the left side.
17 x 721 x 37 x 13 x 314 = 1851223738
Therefore, the lowest common multiple of 721,629,221,314 is 1851223738.
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.
721 x 629 x 221 x 314 = 31470803546
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.
721 : 1, 7, 103, 721
629 : 1, 17, 37, 629
221 : 1, 13, 17, 221
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,629,221,314, is 1.
Now, the common factors can be found like this.
721:7x 103
629:17x 37
221:13x 17
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 31470803546/(1x17)
LCM = 31470803546/17
LCM = 1851223738
Thus, we can understand that the LCM of 721,629,221,314 is 1851223738.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 629, 221, 314?
Answer: LCM of 721, 629, 221, 314 is 1851223738.
2. How to calculate the LCM of 721, 629, 221, 314?
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 721, 629, 221, 314.
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}.