Find the LCM of 473, 102, 957, 792, 183 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 473, 102, 957, 792, 183. So, keep reading to learn more.
Given numbers are 473,102,957,792,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,102,957,792,183 is 1024166088.
Find LCM of 473,102,957,792,183 with Prime Factorization
2 | 473, 102, 957, 792, 183 |
3 | 473, 51, 957, 396, 183 |
11 | 473, 17, 319, 132, 61 |
43, 17, 29, 12, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 43 x 17 x 29 x 12 x 61 = 1024166088
Therefore, the lowest common multiple of 473,102,957,792,183 is 1024166088.
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.
473 x 102 x 957 x 792 x 183 = 6691901218992
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.
473 : 1, 11, 43, 473
102 : 1, 2, 3, 6, 17, 34, 51, 102
957 : 1, 3, 11, 29, 33, 87, 319, 957
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,102,957,792,183, is 1.
Now, the common factors can be found like this.
473:11x 43
102:2x 3x 17
957:3x 11x 29
792:2x 2x 2x 3x 3x 11
183:3x 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 3x 3x 3x 11x 11 = 6534
Therefore, the value for common factors is 6534.
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 = 6691901218992/(1x6534)
LCM = 6691901218992/6534
LCM = 1024166088
Thus, we can understand that the LCM of 473,102,957,792,183 is 1024166088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 473, 102, 957, 792, 183?
Answer: LCM of 473, 102, 957, 792, 183 is 1024166088.
2. How to calculate the LCM of 473, 102, 957, 792, 183?
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 473, 102, 957, 792, 183.
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}.