Find the LCM of 257, 468, 813, 697, 133 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 257, 468, 813, 697, 133. So, keep reading to learn more.
Given numbers are 257,468,813,697,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,468,813,697,133 is 3021570183996.
Find LCM of 257,468,813,697,133 with Prime Factorization
3 | 257, 468, 813, 697, 133 |
257, 156, 271, 697, 133 |
Multiply the prime numbers at the bottom and the left side.
3 x 257 x 156 x 271 x 697 x 133 = 3021570183996
Therefore, the lowest common multiple of 257,468,813,697,133 is 3021570183996.
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.
257 x 468 x 813 x 697 x 133 = 9064710551988
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.
257 : 1, 257
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
813 : 1, 3, 271, 813
697 : 1, 17, 41, 697
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,468,813,697,133, is 1.
Now, the common factors can be found like this.
257:257
468:2x 2x 3x 3x 13
813:3x 271
697:17x 41
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 9064710551988/(1x3)
LCM = 9064710551988/3
LCM = 3021570183996
Thus, we can understand that the LCM of 257,468,813,697,133 is 3021570183996.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 257, 468, 813, 697, 133?
Answer: LCM of 257, 468, 813, 697, 133 is 3021570183996.
2. How to calculate the LCM of 257, 468, 813, 697, 133?
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 257, 468, 813, 697, 133.
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}.