Find the LCM of 147, 321, 856, 104, 494 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 147, 321, 856, 104, 494. So, keep reading to learn more.
Given numbers are 147,321,856,104,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,321,856,104,494 is 31080504.
Find LCM of 147,321,856,104,494 with Prime Factorization
2 | 147, 321, 856, 104, 494 |
2 | 147, 321, 428, 52, 247 |
2 | 147, 321, 214, 26, 247 |
3 | 147, 321, 107, 13, 247 |
13 | 49, 107, 107, 13, 247 |
107 | 49, 107, 107, 1, 19 |
49, 1, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 107 x 49 x 1 x 1 x 1 x 19 = 31080504
Therefore, the lowest common multiple of 147,321,856,104,494 is 31080504.
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.
147 x 321 x 856 x 104 x 494 = 2075183091072
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.
147 : 1, 3, 7, 21, 49, 147
321 : 1, 3, 107, 321
856 : 1, 2, 4, 8, 107, 214, 428, 856
104 : 1, 2, 4, 8, 13, 26, 52, 104
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,321,856,104,494, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
321:3x 107
856:2x 2x 2x 107
104:2x 2x 2x 13
494:2x 13x 19
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 2x 3x 13x 107 = 66768
Therefore, the value for common factors is 66768.
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 = 2075183091072/(1x66768)
LCM = 2075183091072/66768
LCM = 31080504
Thus, we can understand that the LCM of 147,321,856,104,494 is 31080504.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 147, 321, 856, 104, 494?
Answer: LCM of 147, 321, 856, 104, 494 is 31080504.
2. How to calculate the LCM of 147, 321, 856, 104, 494?
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 147, 321, 856, 104, 494.
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}.