Find the LCM of 407, 891, 352, 735, 359 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, 891, 352, 735, 359. So, keep reading to learn more.
Given numbers are 407,891,352,735,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,891,352,735,359 is 92787599520.
Find LCM of 407,891,352,735,359 with Prime Factorization
3 | 407, 891, 352, 735, 359 |
11 | 407, 297, 352, 245, 359 |
37, 27, 32, 245, 359 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 37 x 27 x 32 x 245 x 359 = 92787599520
Therefore, the lowest common multiple of 407,891,352,735,359 is 92787599520.
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 891 x 352 x 735 x 359 = 33681898625760
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
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,891,352,735,359, is 1.
Now, the common factors can be found like this.
407:11x 37
891:3x 3x 3x 3x 11
352:2x 2x 2x 2x 2x 11
735:3x 5x 7x 7
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11 = 363
Therefore, the value for common factors is 363.
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 = 33681898625760/(1x363)
LCM = 33681898625760/363
LCM = 92787599520
Thus, we can understand that the LCM of 407,891,352,735,359 is 92787599520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 891, 352, 735, 359?
Answer: LCM of 407, 891, 352, 735, 359 is 92787599520.
2. How to calculate the LCM of 407, 891, 352, 735, 359?
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, 891, 352, 735, 359.
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}.