LCM of 236, 986, 695, 522, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 986, 695, 522, 714 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 236, 986, 695, 522, 714. So, keep reading to learn more.
Given numbers are 236,986,695,522,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,986,695,522,714 is 5094297180.
Find LCM of 236,986,695,522,714 with Prime Factorization
| 2 | 236, 986, 695, 522, 714 |
| 3 | 118, 493, 695, 261, 357 |
| 17 | 118, 493, 695, 87, 119 |
| 29 | 118, 29, 695, 87, 7 |
| 118, 1, 695, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 29 x 118 x 1 x 695 x 3 x 7 = 5094297180
Therefore, the lowest common multiple of 236,986,695,522,714 is 5094297180.
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.
236 x 986 x 695 x 522 x 714 = 60275724233760
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.
236 : 1, 2, 4, 59, 118, 236
986 : 1, 2, 17, 29, 34, 58, 493, 986
695 : 1, 5, 139, 695
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,986,695,522,714, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
986:2x 17x 29
695:5x 139
522:2x 3x 3x 29
714:2x 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 2x 2x 3x 17x 29 = 11832
Therefore, the value for common factors is 11832.
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 = 60275724233760/(1x11832)
LCM = 60275724233760/11832
LCM = 5094297180
Thus, we can understand that the LCM of 236,986,695,522,714 is 5094297180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 236, 986, 695, 522, 714
1. What is the LCM of 236, 986, 695, 522, 714?
Answer: LCM of 236, 986, 695, 522, 714 is 5094297180.
2. How to calculate the LCM of 236, 986, 695, 522, 714?
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 236, 986, 695, 522, 714.
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}.