LCM of 957, 588, 799, 252, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 588, 799, 252, 918 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 957, 588, 799, 252, 918. So, keep reading to learn more.
Given numbers are 957,588,799,252,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,588,799,252,918 is 1348830252.
Find LCM of 957,588,799,252,918 with Prime Factorization
| 2 | 957, 588, 799, 252, 918 |
| 2 | 957, 294, 799, 126, 459 |
| 3 | 957, 147, 799, 63, 459 |
| 3 | 319, 49, 799, 21, 153 |
| 7 | 319, 49, 799, 7, 51 |
| 17 | 319, 1, 799, 7, 51 |
| 319, 1, 47, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 17 x 319 x 1 x 47 x 7 x 3 = 1348830252
Therefore, the lowest common multiple of 957,588,799,252,918 is 1348830252.
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.
957 x 588 x 799 x 252 x 918 = 104010998392224
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
799 : 1, 17, 47, 799
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,588,799,252,918, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
588:2x 2x 3x 7x 7
799:17x 47
252:2x 2x 3x 3x 7
918:2x 3x 3x 3x 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 3x 3x 3x 7x 17 = 77112
Therefore, the value for common factors is 77112.
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 = 104010998392224/(1x77112)
LCM = 104010998392224/77112
LCM = 1348830252
Thus, we can understand that the LCM of 957,588,799,252,918 is 1348830252.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 957, 588, 799, 252, 918
1. What is the LCM of 957, 588, 799, 252, 918?
Answer: LCM of 957, 588, 799, 252, 918 is 1348830252.
2. How to calculate the LCM of 957, 588, 799, 252, 918?
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 957, 588, 799, 252, 918.
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}.