Find the LCM of 253, 637, 156, 917, 390 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, 637, 156, 917, 390. So, keep reading to learn more.
Given numbers are 253,637,156,917,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,637,156,917,390 is 1266725460.
Find LCM of 253,637,156,917,390 with Prime Factorization
2 | 253, 637, 156, 917, 390 |
3 | 253, 637, 78, 917, 195 |
7 | 253, 637, 26, 917, 65 |
13 | 253, 91, 26, 131, 65 |
253, 7, 2, 131, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 253 x 7 x 2 x 131 x 5 = 1266725460
Therefore, the lowest common multiple of 253,637,156,917,390 is 1266725460.
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 637 x 156 x 917 x 390 = 8991217315080
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
637 : 1, 7, 13, 49, 91, 637
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
917 : 1, 7, 131, 917
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,637,156,917,390, is 1.
Now, the common factors can be found like this.
253:11x 23
637:7x 7x 13
156:2x 2x 3x 13
917:7x 131
390:2x 3x 5x 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 3x 7x 13x 13 = 7098
Therefore, the value for common factors is 7098.
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 = 8991217315080/(1x7098)
LCM = 8991217315080/7098
LCM = 1266725460
Thus, we can understand that the LCM of 253,637,156,917,390 is 1266725460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 637, 156, 917, 390?
Answer: LCM of 253, 637, 156, 917, 390 is 1266725460.
2. How to calculate the LCM of 253, 637, 156, 917, 390?
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, 637, 156, 917, 390.
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}.