Find the LCM of 703, 289, 133, 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 703, 289, 133, 457. So, keep reading to learn more.
Given numbers are 703,289,133,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,289,133,457 is 649931233.
Find LCM of 703,289,133,457 with Prime Factorization
19 | 703, 289, 133, 457 |
37, 289, 7, 457 |
Multiply the prime numbers at the bottom and the left side.
19 x 37 x 289 x 7 x 457 = 649931233
Therefore, the lowest common multiple of 703,289,133,457 is 649931233.
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.
703 x 289 x 133 x 457 = 12348693427
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.
703 : 1, 19, 37, 703
289 : 1, 17, 289
133 : 1, 7, 19, 133
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,289,133,457, is 1.
Now, the common factors can be found like this.
703:19x 37
289:17x 17
133:7x 19
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.
19 = 19
Therefore, the value for common factors is 19.
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 = 12348693427/(1x19)
LCM = 12348693427/19
LCM = 649931233
Thus, we can understand that the LCM of 703,289,133,457 is 649931233.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 703, 289, 133, 457?
Answer: LCM of 703, 289, 133, 457 is 649931233.
2. How to calculate the LCM of 703, 289, 133, 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 703, 289, 133, 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}.