Find the LCM of 343, 517, 470, 799, 149 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 343, 517, 470, 799, 149. So, keep reading to learn more.
Given numbers are 343,517,470,799,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,517,470,799,149 is 4491794230.
Find LCM of 343,517,470,799,149 with Prime Factorization
47 | 343, 517, 470, 799, 149 |
343, 11, 10, 17, 149 |
Multiply the prime numbers at the bottom and the left side.
47 x 343 x 11 x 10 x 17 x 149 = 4491794230
Therefore, the lowest common multiple of 343,517,470,799,149 is 4491794230.
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.
343 x 517 x 470 x 799 x 149 = 9922373454070
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.
343 : 1, 7, 49, 343
517 : 1, 11, 47, 517
470 : 1, 2, 5, 10, 47, 94, 235, 470
799 : 1, 17, 47, 799
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,517,470,799,149, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
517:11x 47
470:2x 5x 47
799:17x 47
149:149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
47x 47 = 2209
Therefore, the value for common factors is 2209.
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 = 9922373454070/(1x2209)
LCM = 9922373454070/2209
LCM = 4491794230
Thus, we can understand that the LCM of 343,517,470,799,149 is 4491794230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 517, 470, 799, 149?
Answer: LCM of 343, 517, 470, 799, 149 is 4491794230.
2. How to calculate the LCM of 343, 517, 470, 799, 149?
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 343, 517, 470, 799, 149.
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}.