Find the LCM of 506, 687, 803, 137 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 506, 687, 803, 137. So, keep reading to learn more.
Given numbers are 506,687,803,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,687,803,137 is 3476567622.
Find LCM of 506,687,803,137 with Prime Factorization
11 | 506, 687, 803, 137 |
46, 687, 73, 137 |
Multiply the prime numbers at the bottom and the left side.
11 x 46 x 687 x 73 x 137 = 3476567622
Therefore, the lowest common multiple of 506,687,803,137 is 3476567622.
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.
506 x 687 x 803 x 137 = 38242243842
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
687 : 1, 3, 229, 687
803 : 1, 11, 73, 803
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,687,803,137, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
687:3x 229
803:11x 73
137:137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 38242243842/(1x11)
LCM = 38242243842/11
LCM = 3476567622
Thus, we can understand that the LCM of 506,687,803,137 is 3476567622.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 506, 687, 803, 137?
Answer: LCM of 506, 687, 803, 137 is 3476567622.
2. How to calculate the LCM of 506, 687, 803, 137?
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 506, 687, 803, 137.
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}.