Find the LCM of 449, 793, 182, 506, 172 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 449, 793, 182, 506, 172. So, keep reading to learn more.
Given numbers are 449,793,182,506,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,793,182,506,172 is 108459234884.
Find LCM of 449,793,182,506,172 with Prime Factorization
2 | 449, 793, 182, 506, 172 |
13 | 449, 793, 91, 253, 86 |
449, 61, 7, 253, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 449 x 61 x 7 x 253 x 86 = 108459234884
Therefore, the lowest common multiple of 449,793,182,506,172 is 108459234884.
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.
449 x 793 x 182 x 506 x 172 = 5639880213968
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.
449 : 1, 449
793 : 1, 13, 61, 793
182 : 1, 2, 7, 13, 14, 26, 91, 182
506 : 1, 2, 11, 22, 23, 46, 253, 506
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,793,182,506,172, is 1.
Now, the common factors can be found like this.
449:449
793:13x 61
182:2x 7x 13
506:2x 11x 23
172:2x 2x 43
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 13 = 52
Therefore, the value for common factors is 52.
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 = 5639880213968/(1x52)
LCM = 5639880213968/52
LCM = 108459234884
Thus, we can understand that the LCM of 449,793,182,506,172 is 108459234884.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 449, 793, 182, 506, 172?
Answer: LCM of 449, 793, 182, 506, 172 is 108459234884.
2. How to calculate the LCM of 449, 793, 182, 506, 172?
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 449, 793, 182, 506, 172.
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}.