Find the LCM of 489, 687, 894, 238, 947 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 489, 687, 894, 238, 947. So, keep reading to learn more.
Given numbers are 489,687,894,238,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,687,894,238,947 is 3760603500234.
Find LCM of 489,687,894,238,947 with Prime Factorization
2 | 489, 687, 894, 238, 947 |
3 | 489, 687, 447, 119, 947 |
163, 229, 149, 119, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 229 x 149 x 119 x 947 = 3760603500234
Therefore, the lowest common multiple of 489,687,894,238,947 is 3760603500234.
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.
489 x 687 x 894 x 238 x 947 = 67690863004212
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.
489 : 1, 3, 163, 489
687 : 1, 3, 229, 687
894 : 1, 2, 3, 6, 149, 298, 447, 894
238 : 1, 2, 7, 14, 17, 34, 119, 238
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,687,894,238,947, is 1.
Now, the common factors can be found like this.
489:3x 163
687:3x 229
894:2x 3x 149
238:2x 7x 17
947:947
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 67690863004212/(1x18)
LCM = 67690863004212/18
LCM = 3760603500234
Thus, we can understand that the LCM of 489,687,894,238,947 is 3760603500234.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 489, 687, 894, 238, 947?
Answer: LCM of 489, 687, 894, 238, 947 is 3760603500234.
2. How to calculate the LCM of 489, 687, 894, 238, 947?
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 489, 687, 894, 238, 947.
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}.