LCM of 572, 171, 537, 872, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 171, 537, 872, 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 572, 171, 537, 872, 957. So, keep reading to learn more.
Given numbers are 572,171,537,872,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,171,537,872,957 is 110687776056.
Find LCM of 572,171,537,872,957 with Prime Factorization
| 2 | 572, 171, 537, 872, 957 |
| 2 | 286, 171, 537, 436, 957 |
| 3 | 143, 171, 537, 218, 957 |
| 11 | 143, 57, 179, 218, 319 |
| 13, 57, 179, 218, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 57 x 179 x 218 x 29 = 110687776056
Therefore, the lowest common multiple of 572,171,537,872,957 is 110687776056.
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.
572 x 171 x 537 x 872 x 957 = 43832359318176
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
171 : 1, 3, 9, 19, 57, 171
537 : 1, 3, 179, 537
872 : 1, 2, 4, 8, 109, 218, 436, 872
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 572,171,537,872,957, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
171:3x 3x 19
537:3x 179
872:2x 2x 2x 109
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.
2x 2x 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 43832359318176/(1x396)
LCM = 43832359318176/396
LCM = 110687776056
Thus, we can understand that the LCM of 572,171,537,872,957 is 110687776056.
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FAQs on LCM of 572, 171, 537, 872, 957
1. What is the LCM of 572, 171, 537, 872, 957?
Answer: LCM of 572, 171, 537, 872, 957 is 110687776056.
2. How to calculate the LCM of 572, 171, 537, 872, 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 572, 171, 537, 872, 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}.