Find the LCM of 844, 197, 589, 169, 624 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 844, 197, 589, 169, 624. So, keep reading to learn more.
Given numbers are 844,197,589,169,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,197,589,169,624 is 198605795856.
Find LCM of 844,197,589,169,624 with Prime Factorization
2 | 844, 197, 589, 169, 624 |
2 | 422, 197, 589, 169, 312 |
13 | 211, 197, 589, 169, 156 |
211, 197, 589, 13, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 211 x 197 x 589 x 13 x 12 = 198605795856
Therefore, the lowest common multiple of 844,197,589,169,624 is 198605795856.
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.
844 x 197 x 589 x 169 x 624 = 10327501384512
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.
844 : 1, 2, 4, 211, 422, 844
197 : 1, 197
589 : 1, 19, 31, 589
169 : 1, 13, 169
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,197,589,169,624, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
197:197
589:19x 31
169:13x 13
624:2x 2x 2x 2x 3x 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 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 = 10327501384512/(1x52)
LCM = 10327501384512/52
LCM = 198605795856
Thus, we can understand that the LCM of 844,197,589,169,624 is 198605795856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 844, 197, 589, 169, 624?
Answer: LCM of 844, 197, 589, 169, 624 is 198605795856.
2. How to calculate the LCM of 844, 197, 589, 169, 624?
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 844, 197, 589, 169, 624.
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}.