Find the LCM of 253, 521, 640, 230, 985 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 253, 521, 640, 230, 985. So, keep reading to learn more.
Given numbers are 253,521,640,230,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,521,640,230,985 is 16618983040.
Find LCM of 253,521,640,230,985 with Prime Factorization
2 | 253, 521, 640, 230, 985 |
5 | 253, 521, 320, 115, 985 |
23 | 253, 521, 64, 23, 197 |
11, 521, 64, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 11 x 521 x 64 x 1 x 197 = 16618983040
Therefore, the lowest common multiple of 253,521,640,230,985 is 16618983040.
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.
253 x 521 x 640 x 230 x 985 = 19111830496000
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.
253 : 1, 11, 23, 253
521 : 1, 521
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
230 : 1, 2, 5, 10, 23, 46, 115, 230
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,521,640,230,985, is 1.
Now, the common factors can be found like this.
253:11x 23
521:521
640:2x 2x 2x 2x 2x 2x 2x 5
230:2x 5x 23
985:5x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 23 = 1150
Therefore, the value for common factors is 1150.
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 = 19111830496000/(1x1150)
LCM = 19111830496000/1150
LCM = 16618983040
Thus, we can understand that the LCM of 253,521,640,230,985 is 16618983040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 521, 640, 230, 985?
Answer: LCM of 253, 521, 640, 230, 985 is 16618983040.
2. How to calculate the LCM of 253, 521, 640, 230, 985?
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 253, 521, 640, 230, 985.
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}.