LCM of 843, 357, 715, 986, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 357, 715, 986, 578 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 843, 357, 715, 986, 578. So, keep reading to learn more.
Given numbers are 843,357,715,986,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,357,715,986,578 is 70722481830.
Find LCM of 843,357,715,986,578 with Prime Factorization
| 2 | 843, 357, 715, 986, 578 |
| 3 | 843, 357, 715, 493, 289 |
| 17 | 281, 119, 715, 493, 289 |
| 281, 7, 715, 29, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 281 x 7 x 715 x 29 x 17 = 70722481830
Therefore, the lowest common multiple of 843,357,715,986,578 is 70722481830.
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.
843 x 357 x 715 x 986 x 578 = 122632783493220
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.
843 : 1, 3, 281, 843
357 : 1, 3, 7, 17, 21, 51, 119, 357
715 : 1, 5, 11, 13, 55, 65, 143, 715
986 : 1, 2, 17, 29, 34, 58, 493, 986
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,357,715,986,578, is 1.
Now, the common factors can be found like this.
843:3x 281
357:3x 7x 17
715:5x 11x 13
986:2x 17x 29
578:2x 17x 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 17x 17 = 1734
Therefore, the value for common factors is 1734.
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 = 122632783493220/(1x1734)
LCM = 122632783493220/1734
LCM = 70722481830
Thus, we can understand that the LCM of 843,357,715,986,578 is 70722481830.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 843, 357, 715, 986, 578
1. What is the LCM of 843, 357, 715, 986, 578?
Answer: LCM of 843, 357, 715, 986, 578 is 70722481830.
2. How to calculate the LCM of 843, 357, 715, 986, 578?
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 843, 357, 715, 986, 578.
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}.