Find the LCM of 647, 155, 438, 292 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, 155, 438, 292. So, keep reading to learn more.
Given numbers are 647,155,438,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,155,438,292 is 87849660.
Find LCM of 647,155,438,292 with Prime Factorization
2 | 647, 155, 438, 292 |
73 | 647, 155, 219, 146 |
647, 155, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 647 x 155 x 3 x 2 = 87849660
Therefore, the lowest common multiple of 647,155,438,292 is 87849660.
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 155 x 438 x 292 = 12826050360
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
155 : 1, 5, 31, 155
438 : 1, 2, 3, 6, 73, 146, 219, 438
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,155,438,292, is 1.
Now, the common factors can be found like this.
647:647
155:5x 31
438:2x 3x 73
292:2x 2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 73 = 146
Therefore, the value for common factors is 146.
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 = 12826050360/(1x146)
LCM = 12826050360/146
LCM = 87849660
Thus, we can understand that the LCM of 647,155,438,292 is 87849660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 647, 155, 438, 292?
Answer: LCM of 647, 155, 438, 292 is 87849660.
2. How to calculate the LCM of 647, 155, 438, 292?
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, 155, 438, 292.
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}.