Find the LCM of 813, 529, 271, 157, 248 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 813, 529, 271, 157, 248. So, keep reading to learn more.
Given numbers are 813,529,271,157,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,529,271,157,248 is 16745478072.
Find LCM of 813,529,271,157,248 with Prime Factorization
271 | 813, 529, 271, 157, 248 |
3, 529, 1, 157, 248 |
Multiply the prime numbers at the bottom and the left side.
271 x 3 x 529 x 1 x 157 x 248 = 16745478072
Therefore, the lowest common multiple of 813,529,271,157,248 is 16745478072.
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.
813 x 529 x 271 x 157 x 248 = 4538024557512
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.
813 : 1, 3, 271, 813
529 : 1, 23, 529
271 : 1, 271
157 : 1, 157
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,529,271,157,248, is 1.
Now, the common factors can be found like this.
813:3x 271
529:23x 23
271:271
157:157
248:2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
271 = 271
Therefore, the value for common factors is 271.
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 = 4538024557512/(1x271)
LCM = 4538024557512/271
LCM = 16745478072
Thus, we can understand that the LCM of 813,529,271,157,248 is 16745478072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 529, 271, 157, 248?
Answer: LCM of 813, 529, 271, 157, 248 is 16745478072.
2. How to calculate the LCM of 813, 529, 271, 157, 248?
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 813, 529, 271, 157, 248.
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}.