LCM of 253, 504, 928, 957, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 504, 928, 957, 664 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 253, 504, 928, 957, 664. So, keep reading to learn more.
Given numbers are 253,504,928,957,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,504,928,957,664 is 1227685536.
Find LCM of 253,504,928,957,664 with Prime Factorization
| 2 | 253, 504, 928, 957, 664 |
| 2 | 253, 252, 464, 957, 332 |
| 2 | 253, 126, 232, 957, 166 |
| 3 | 253, 63, 116, 957, 83 |
| 11 | 253, 21, 116, 319, 83 |
| 29 | 23, 21, 116, 29, 83 |
| 23, 21, 4, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 29 x 23 x 21 x 4 x 1 x 83 = 1227685536
Therefore, the lowest common multiple of 253,504,928,957,664 is 1227685536.
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.
253 x 504 x 928 x 957 x 664 = 75193283708928
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.
253 : 1, 11, 23, 253
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
957 : 1, 3, 11, 29, 33, 87, 319, 957
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,504,928,957,664, is 1.
Now, the common factors can be found like this.
253:11x 23
504:2x 2x 2x 3x 3x 7
928:2x 2x 2x 2x 2x 29
957:3x 11x 29
664:2x 2x 2x 83
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 2x 2x 2x 3x 11x 29 = 61248
Therefore, the value for common factors is 61248.
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 = 75193283708928/(1x61248)
LCM = 75193283708928/61248
LCM = 1227685536
Thus, we can understand that the LCM of 253,504,928,957,664 is 1227685536.
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FAQs on LCM of 253, 504, 928, 957, 664
1. What is the LCM of 253, 504, 928, 957, 664?
Answer: LCM of 253, 504, 928, 957, 664 is 1227685536.
2. How to calculate the LCM of 253, 504, 928, 957, 664?
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 253, 504, 928, 957, 664.
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}.