Find the LCM of 698, 401, 860, 387, 296 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 698, 401, 860, 387, 296. So, keep reading to learn more.
Given numbers are 698,401,860,387,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,401,860,387,296 is 80157189240.
Find LCM of 698,401,860,387,296 with Prime Factorization
2 | 698, 401, 860, 387, 296 |
2 | 349, 401, 430, 387, 148 |
43 | 349, 401, 215, 387, 74 |
349, 401, 5, 9, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 349 x 401 x 5 x 9 x 74 = 80157189240
Therefore, the lowest common multiple of 698,401,860,387,296 is 80157189240.
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.
698 x 401 x 860 x 387 x 296 = 27574073098560
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.
698 : 1, 2, 349, 698
401 : 1, 401
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
387 : 1, 3, 9, 43, 129, 387
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,401,860,387,296, is 1.
Now, the common factors can be found like this.
698:2x 349
401:401
860:2x 2x 5x 43
387:3x 3x 43
296:2x 2x 2x 37
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 2x 43 = 344
Therefore, the value for common factors is 344.
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 = 27574073098560/(1x344)
LCM = 27574073098560/344
LCM = 80157189240
Thus, we can understand that the LCM of 698,401,860,387,296 is 80157189240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 401, 860, 387, 296?
Answer: LCM of 698, 401, 860, 387, 296 is 80157189240.
2. How to calculate the LCM of 698, 401, 860, 387, 296?
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 698, 401, 860, 387, 296.
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}.