LCM of 730, 633, 374, 559, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 633, 374, 559, 357 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 730, 633, 374, 559, 357. So, keep reading to learn more.
Given numbers are 730,633,374,559,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,633,374,559,357 is 338125577790.
Find LCM of 730,633,374,559,357 with Prime Factorization
| 2 | 730, 633, 374, 559, 357 |
| 3 | 365, 633, 187, 559, 357 |
| 17 | 365, 211, 187, 559, 119 |
| 365, 211, 11, 559, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 365 x 211 x 11 x 559 x 7 = 338125577790
Therefore, the lowest common multiple of 730,633,374,559,357 is 338125577790.
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.
730 x 633 x 374 x 559 x 357 = 34488808934580
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
633 : 1, 3, 211, 633
374 : 1, 2, 11, 17, 22, 34, 187, 374
559 : 1, 13, 43, 559
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,633,374,559,357, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
633:3x 211
374:2x 11x 17
559:13x 43
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 34488808934580/(1x102)
LCM = 34488808934580/102
LCM = 338125577790
Thus, we can understand that the LCM of 730,633,374,559,357 is 338125577790.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 730, 633, 374, 559, 357
1. What is the LCM of 730, 633, 374, 559, 357?
Answer: LCM of 730, 633, 374, 559, 357 is 338125577790.
2. How to calculate the LCM of 730, 633, 374, 559, 357?
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 730, 633, 374, 559, 357.
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}.