Find the LCM of 713, 998, 618, 341, 595 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 713, 998, 618, 341, 595. So, keep reading to learn more.
Given numbers are 713,998,618,341,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,998,618,341,595 is 1439090815470.
Find LCM of 713,998,618,341,595 with Prime Factorization
2 | 713, 998, 618, 341, 595 |
31 | 713, 499, 309, 341, 595 |
23, 499, 309, 11, 595 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 23 x 499 x 309 x 11 x 595 = 1439090815470
Therefore, the lowest common multiple of 713,998,618,341,595 is 1439090815470.
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.
713 x 998 x 618 x 341 x 595 = 89223630559140
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.
713 : 1, 23, 31, 713
998 : 1, 2, 499, 998
618 : 1, 2, 3, 6, 103, 206, 309, 618
341 : 1, 11, 31, 341
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,998,618,341,595, is 1.
Now, the common factors can be found like this.
713:23x 31
998:2x 499
618:2x 3x 103
341:11x 31
595:5x 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 31 = 62
Therefore, the value for common factors is 62.
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 = 89223630559140/(1x62)
LCM = 89223630559140/62
LCM = 1439090815470
Thus, we can understand that the LCM of 713,998,618,341,595 is 1439090815470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 713, 998, 618, 341, 595?
Answer: LCM of 713, 998, 618, 341, 595 is 1439090815470.
2. How to calculate the LCM of 713, 998, 618, 341, 595?
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 713, 998, 618, 341, 595.
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}.