LCM of 399, 986, 918, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 986, 918, 961 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 399, 986, 918, 961. So, keep reading to learn more.
Given numbers are 399,986,918,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,986,918,961 is 3402637686.
Find LCM of 399,986,918,961 with Prime Factorization
| 2 | 399, 986, 918, 961 |
| 3 | 399, 493, 459, 961 |
| 17 | 133, 493, 153, 961 |
| 133, 29, 9, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 133 x 29 x 9 x 961 = 3402637686
Therefore, the lowest common multiple of 399,986,918,961 is 3402637686.
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.
399 x 986 x 918 x 961 = 347069043972
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
986 : 1, 2, 17, 29, 34, 58, 493, 986
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,986,918,961, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
986:2x 17x 29
918:2x 3x 3x 3x 17
961:31x 31
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 17 = 102
Therefore, the value for common factors is 102.
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 = 347069043972/(1x102)
LCM = 347069043972/102
LCM = 3402637686
Thus, we can understand that the LCM of 399,986,918,961 is 3402637686.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 399, 986, 918, 961
1. What is the LCM of 399, 986, 918, 961?
Answer: LCM of 399, 986, 918, 961 is 3402637686.
2. How to calculate the LCM of 399, 986, 918, 961?
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 399, 986, 918, 961.
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}.