LCM of 956, 442, 717, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 956, 442, 717, 364 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 956, 442, 717, 364. So, keep reading to learn more.
Given numbers are 956,442,717,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 956,442,717,364 is 4436796.
Find LCM of 956,442,717,364 with Prime Factorization
| 2 | 956, 442, 717, 364 |
| 2 | 478, 221, 717, 182 |
| 13 | 239, 221, 717, 91 |
| 239 | 239, 17, 717, 7 |
| 1, 17, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 239 x 1 x 17 x 3 x 7 = 4436796
Therefore, the lowest common multiple of 956,442,717,364 is 4436796.
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.
956 x 442 x 717 x 364 = 110281001376
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.
956 : 1, 2, 4, 239, 478, 956
442 : 1, 2, 13, 17, 26, 34, 221, 442
717 : 1, 3, 239, 717
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,442,717,364, is 1.
Now, the common factors can be found like this.
956:2x 2x 239
442:2x 13x 17
717:3x 239
364:2x 2x 7x 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 2x 2x 13x 239 = 24856
Therefore, the value for common factors is 24856.
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 = 110281001376/(1x24856)
LCM = 110281001376/24856
LCM = 4436796
Thus, we can understand that the LCM of 956,442,717,364 is 4436796.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 956, 442, 717, 364
1. What is the LCM of 956, 442, 717, 364?
Answer: LCM of 956, 442, 717, 364 is 4436796.
2. How to calculate the LCM of 956, 442, 717, 364?
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 956, 442, 717, 364.
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}.