LCM of 534, 957, 783, 878, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 957, 783, 878, 488 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 534, 957, 783, 878, 488. So, keep reading to learn more.
Given numbers are 534,957,783,878,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,957,783,878,488 is 164221039224.
Find LCM of 534,957,783,878,488 with Prime Factorization
| 2 | 534, 957, 783, 878, 488 |
| 3 | 267, 957, 783, 439, 244 |
| 29 | 89, 319, 261, 439, 244 |
| 89, 11, 9, 439, 244 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 89 x 11 x 9 x 439 x 244 = 164221039224
Therefore, the lowest common multiple of 534,957,783,878,488 is 164221039224.
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.
534 x 957 x 783 x 878 x 488 = 171446764949856
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
957 : 1, 3, 11, 29, 33, 87, 319, 957
783 : 1, 3, 9, 27, 29, 87, 261, 783
878 : 1, 2, 439, 878
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,957,783,878,488, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
957:3x 11x 29
783:3x 3x 3x 29
878:2x 439
488:2x 2x 2x 61
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 29 = 1044
Therefore, the value for common factors is 1044.
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 = 171446764949856/(1x1044)
LCM = 171446764949856/1044
LCM = 164221039224
Thus, we can understand that the LCM of 534,957,783,878,488 is 164221039224.
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FAQs on LCM of 534, 957, 783, 878, 488
1. What is the LCM of 534, 957, 783, 878, 488?
Answer: LCM of 534, 957, 783, 878, 488 is 164221039224.
2. How to calculate the LCM of 534, 957, 783, 878, 488?
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 534, 957, 783, 878, 488.
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}.