LCM of 359, 804, 170, 583, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 804, 170, 583, 715 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 359, 804, 170, 583, 715. So, keep reading to learn more.
Given numbers are 359,804,170,583,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,804,170,583,715 is 185943640740.
Find LCM of 359,804,170,583,715 with Prime Factorization
| 2 | 359, 804, 170, 583, 715 |
| 5 | 359, 402, 85, 583, 715 |
| 11 | 359, 402, 17, 583, 143 |
| 359, 402, 17, 53, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 359 x 402 x 17 x 53 x 13 = 185943640740
Therefore, the lowest common multiple of 359,804,170,583,715 is 185943640740.
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.
359 x 804 x 170 x 583 x 715 = 20453800481400
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.
359 : 1, 359
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
170 : 1, 2, 5, 10, 17, 34, 85, 170
583 : 1, 11, 53, 583
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,804,170,583,715, is 1.
Now, the common factors can be found like this.
359:359
804:2x 2x 3x 67
170:2x 5x 17
583:11x 53
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 20453800481400/(1x110)
LCM = 20453800481400/110
LCM = 185943640740
Thus, we can understand that the LCM of 359,804,170,583,715 is 185943640740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 359, 804, 170, 583, 715
1. What is the LCM of 359, 804, 170, 583, 715?
Answer: LCM of 359, 804, 170, 583, 715 is 185943640740.
2. How to calculate the LCM of 359, 804, 170, 583, 715?
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 359, 804, 170, 583, 715.
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}.