LCM of 163, 667, 451, 948, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 163, 667, 451, 948, 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 163, 667, 451, 948, 957. So, keep reading to learn more.
Given numbers are 163,667,451,948,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,667,451,948,957 is 46483446108.
Find LCM of 163,667,451,948,957 with Prime Factorization
| 3 | 163, 667, 451, 948, 957 |
| 11 | 163, 667, 451, 316, 319 |
| 29 | 163, 667, 41, 316, 29 |
| 163, 23, 41, 316, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 163 x 23 x 41 x 316 x 1 = 46483446108
Therefore, the lowest common multiple of 163,667,451,948,957 is 46483446108.
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 667 x 451 x 948 x 957 = 44484657925356
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
667 : 1, 23, 29, 667
451 : 1, 11, 41, 451
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
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 163,667,451,948,957, is 1.
Now, the common factors can be found like this.
163:163
667:23x 29
451:11x 41
948:2x 2x 3x 79
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 11x 29 = 957
Therefore, the value for common factors is 957.
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 = 44484657925356/(1x957)
LCM = 44484657925356/957
LCM = 46483446108
Thus, we can understand that the LCM of 163,667,451,948,957 is 46483446108.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 163, 667, 451, 948, 957
1. What is the LCM of 163, 667, 451, 948, 957?
Answer: LCM of 163, 667, 451, 948, 957 is 46483446108.
2. How to calculate the LCM of 163, 667, 451, 948, 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 163, 667, 451, 948, 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}.