Find the LCM of 829, 242, 507, 460 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 829, 242, 507, 460. So, keep reading to learn more.
Given numbers are 829,242,507,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,242,507,460 is 23394064980.
Find LCM of 829,242,507,460 with Prime Factorization
2 | 829, 242, 507, 460 |
829, 121, 507, 230 |
Multiply the prime numbers at the bottom and the left side.
2 x 829 x 121 x 507 x 230 = 23394064980
Therefore, the lowest common multiple of 829,242,507,460 is 23394064980.
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.
829 x 242 x 507 x 460 = 46788129960
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.
829 : 1, 829
242 : 1, 2, 11, 22, 121, 242
507 : 1, 3, 13, 39, 169, 507
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,242,507,460, is 1.
Now, the common factors can be found like this.
829:829
242:2x 11x 11
507:3x 13x 13
460:2x 2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 46788129960/(1x2)
LCM = 46788129960/2
LCM = 23394064980
Thus, we can understand that the LCM of 829,242,507,460 is 23394064980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 242, 507, 460?
Answer: LCM of 829, 242, 507, 460 is 23394064980.
2. How to calculate the LCM of 829, 242, 507, 460?
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 829, 242, 507, 460.
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}.