LCM of 163, 572, 957, 760, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 163, 572, 957, 760, 287 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 163, 572, 957, 760, 287. So, keep reading to learn more.
Given numbers are 163,572,957,760,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,572,957,760,287 is 442321839960.
Find LCM of 163,572,957,760,287 with Prime Factorization
| 2 | 163, 572, 957, 760, 287 |
| 2 | 163, 286, 957, 380, 287 |
| 11 | 163, 143, 957, 190, 287 |
| 163, 13, 87, 190, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 163 x 13 x 87 x 190 x 287 = 442321839960
Therefore, the lowest common multiple of 163,572,957,760,287 is 442321839960.
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.
163 x 572 x 957 x 760 x 287 = 19462160958240
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.
163 : 1, 163
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
957 : 1, 3, 11, 29, 33, 87, 319, 957
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,572,957,760,287, is 1.
Now, the common factors can be found like this.
163:163
572:2x 2x 11x 13
957:3x 11x 29
760:2x 2x 2x 5x 19
287:7x 41
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 11 = 44
Therefore, the value for common factors is 44.
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 = 19462160958240/(1x44)
LCM = 19462160958240/44
LCM = 442321839960
Thus, we can understand that the LCM of 163,572,957,760,287 is 442321839960.
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FAQs on LCM of 163, 572, 957, 760, 287
1. What is the LCM of 163, 572, 957, 760, 287?
Answer: LCM of 163, 572, 957, 760, 287 is 442321839960.
2. How to calculate the LCM of 163, 572, 957, 760, 287?
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 163, 572, 957, 760, 287.
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}.