Find the LCM of 268, 102, 407, 507, 457 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 268, 102, 407, 507, 457. So, keep reading to learn more.
Given numbers are 268,102,407,507,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,102,407,507,457 is 429637602108.
Find LCM of 268,102,407,507,457 with Prime Factorization
2 | 268, 102, 407, 507, 457 |
3 | 134, 51, 407, 507, 457 |
134, 17, 407, 169, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 134 x 17 x 407 x 169 x 457 = 429637602108
Therefore, the lowest common multiple of 268,102,407,507,457 is 429637602108.
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.
268 x 102 x 407 x 507 x 457 = 2577825612648
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.
268 : 1, 2, 4, 67, 134, 268
102 : 1, 2, 3, 6, 17, 34, 51, 102
407 : 1, 11, 37, 407
507 : 1, 3, 13, 39, 169, 507
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,102,407,507,457, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
102:2x 3x 17
407:11x 37
507:3x 13x 13
457:457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 2577825612648/(1x6)
LCM = 2577825612648/6
LCM = 429637602108
Thus, we can understand that the LCM of 268,102,407,507,457 is 429637602108.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 268, 102, 407, 507, 457?
Answer: LCM of 268, 102, 407, 507, 457 is 429637602108.
2. How to calculate the LCM of 268, 102, 407, 507, 457?
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 268, 102, 407, 507, 457.
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}.