Find the LCM of 718, 701, 375, 359, 323 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 718, 701, 375, 359, 323. So, keep reading to learn more.
Given numbers are 718,701,375,359,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,701,375,359,323 is 60964392750.
Find LCM of 718,701,375,359,323 with Prime Factorization
359 | 718, 701, 375, 359, 323 |
2, 701, 375, 1, 323 |
Multiply the prime numbers at the bottom and the left side.
359 x 2 x 701 x 375 x 1 x 323 = 60964392750
Therefore, the lowest common multiple of 718,701,375,359,323 is 60964392750.
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.
718 x 701 x 375 x 359 x 323 = 21886216997250
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.
718 : 1, 2, 359, 718
701 : 1, 701
375 : 1, 3, 5, 15, 25, 75, 125, 375
359 : 1, 359
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,701,375,359,323, is 1.
Now, the common factors can be found like this.
718:2x 359
701:701
375:3x 5x 5x 5
359:359
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
359 = 359
Therefore, the value for common factors is 359.
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 = 21886216997250/(1x359)
LCM = 21886216997250/359
LCM = 60964392750
Thus, we can understand that the LCM of 718,701,375,359,323 is 60964392750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 718, 701, 375, 359, 323?
Answer: LCM of 718, 701, 375, 359, 323 is 60964392750.
2. How to calculate the LCM of 718, 701, 375, 359, 323?
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 718, 701, 375, 359, 323.
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}.