Find the LCM of 447, 156, 120, 367, 169 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 447, 156, 120, 367, 169. So, keep reading to learn more.
Given numbers are 447,156,120,367,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,156,120,367,169 is 1108971240.
Find LCM of 447,156,120,367,169 with Prime Factorization
2 | 447, 156, 120, 367, 169 |
2 | 447, 78, 60, 367, 169 |
3 | 447, 39, 30, 367, 169 |
13 | 149, 13, 10, 367, 169 |
149, 1, 10, 367, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 149 x 1 x 10 x 367 x 13 = 1108971240
Therefore, the lowest common multiple of 447,156,120,367,169 is 1108971240.
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.
447 x 156 x 120 x 367 x 169 = 518998540320
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.
447 : 1, 3, 149, 447
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
367 : 1, 367
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,156,120,367,169, is 1.
Now, the common factors can be found like this.
447:3x 149
156:2x 2x 3x 13
120:2x 2x 2x 3x 5
367:367
169:13x 13
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 518998540320/(1x468)
LCM = 518998540320/468
LCM = 1108971240
Thus, we can understand that the LCM of 447,156,120,367,169 is 1108971240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 447, 156, 120, 367, 169?
Answer: LCM of 447, 156, 120, 367, 169 is 1108971240.
2. How to calculate the LCM of 447, 156, 120, 367, 169?
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 447, 156, 120, 367, 169.
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}.