Find the LCM of 220, 818, 149, 149, 317 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 220, 818, 149, 149, 317. So, keep reading to learn more.
Given numbers are 220,818,149,149,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,818,149,149,317 is 4250025340.
Find LCM of 220,818,149,149,317 with Prime Factorization
2 | 220, 818, 149, 149, 317 |
149 | 110, 409, 149, 149, 317 |
110, 409, 1, 1, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 110 x 409 x 1 x 1 x 317 = 4250025340
Therefore, the lowest common multiple of 220,818,149,149,317 is 4250025340.
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.
220 x 818 x 149 x 149 x 317 = 1266507551320
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
818 : 1, 2, 409, 818
149 : 1, 149
149 : 1, 149
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,818,149,149,317, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
818:2x 409
149:149
149:149
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 149 = 298
Therefore, the value for common factors is 298.
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 = 1266507551320/(1x298)
LCM = 1266507551320/298
LCM = 4250025340
Thus, we can understand that the LCM of 220,818,149,149,317 is 4250025340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 220, 818, 149, 149, 317?
Answer: LCM of 220, 818, 149, 149, 317 is 4250025340.
2. How to calculate the LCM of 220, 818, 149, 149, 317?
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 220, 818, 149, 149, 317.
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}.