LCM of 917, 363, 406, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 363, 406, 957 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 917, 363, 406, 957. So, keep reading to learn more.
Given numbers are 917,363,406,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,363,406,957 is 19306518.
Find LCM of 917,363,406,957 with Prime Factorization
| 3 | 917, 363, 406, 957 |
| 7 | 917, 121, 406, 319 |
| 11 | 131, 121, 58, 319 |
| 29 | 131, 11, 58, 29 |
| 131, 11, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 29 x 131 x 11 x 2 x 1 = 19306518
Therefore, the lowest common multiple of 917,363,406,957 is 19306518.
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.
917 x 363 x 406 x 957 = 129334364082
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.
917 : 1, 7, 131, 917
363 : 1, 3, 11, 33, 121, 363
406 : 1, 2, 7, 14, 29, 58, 203, 406
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,363,406,957, is 1.
Now, the common factors can be found like this.
917:7x 131
363:3x 11x 11
406:2x 7x 29
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11x 29 = 6699
Therefore, the value for common factors is 6699.
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 = 129334364082/(1x6699)
LCM = 129334364082/6699
LCM = 19306518
Thus, we can understand that the LCM of 917,363,406,957 is 19306518.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 917, 363, 406, 957
1. What is the LCM of 917, 363, 406, 957?
Answer: LCM of 917, 363, 406, 957 is 19306518.
2. How to calculate the LCM of 917, 363, 406, 957?
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 917, 363, 406, 957.
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}.