Find the LCM of 407, 201, 121, 233, 730 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 407, 201, 121, 233, 730. So, keep reading to learn more.
Given numbers are 407,201,121,233,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,201,121,233,730 is 153060078930.
Find LCM of 407,201,121,233,730 with Prime Factorization
11 | 407, 201, 121, 233, 730 |
37, 201, 11, 233, 730 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 201 x 11 x 233 x 730 = 153060078930
Therefore, the lowest common multiple of 407,201,121,233,730 is 153060078930.
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.
407 x 201 x 121 x 233 x 730 = 1683660868230
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.
407 : 1, 11, 37, 407
201 : 1, 3, 67, 201
121 : 1, 11, 121
233 : 1, 233
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,201,121,233,730, is 1.
Now, the common factors can be found like this.
407:11x 37
201:3x 67
121:11x 11
233:233
730:2x 5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 1683660868230/(1x11)
LCM = 1683660868230/11
LCM = 153060078930
Thus, we can understand that the LCM of 407,201,121,233,730 is 153060078930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 201, 121, 233, 730?
Answer: LCM of 407, 201, 121, 233, 730 is 153060078930.
2. How to calculate the LCM of 407, 201, 121, 233, 730?
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 407, 201, 121, 233, 730.
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}.