Find the LCM of 647, 870, 936, 338 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 647, 870, 936, 338. So, keep reading to learn more.
Given numbers are 647,870,936,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,870,936,338 is 1141540920.
Find LCM of 647,870,936,338 with Prime Factorization
2 | 647, 870, 936, 338 |
3 | 647, 435, 468, 169 |
13 | 647, 145, 156, 169 |
647, 145, 12, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 647 x 145 x 12 x 13 = 1141540920
Therefore, the lowest common multiple of 647,870,936,338 is 1141540920.
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.
647 x 870 x 936 x 338 = 178080383520
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.
647 : 1, 647
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,870,936,338, is 1.
Now, the common factors can be found like this.
647:647
870:2x 3x 5x 29
936:2x 2x 2x 3x 3x 13
338:2x 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 13 = 156
Therefore, the value for common factors is 156.
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 = 178080383520/(1x156)
LCM = 178080383520/156
LCM = 1141540920
Thus, we can understand that the LCM of 647,870,936,338 is 1141540920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 647, 870, 936, 338?
Answer: LCM of 647, 870, 936, 338 is 1141540920.
2. How to calculate the LCM of 647, 870, 936, 338?
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 647, 870, 936, 338.
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}.