LCM of 473, 626, 793, 258, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 626, 793, 258, 974 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, 626, 793, 258, 974. So, keep reading to learn more.
Given numbers are 473,626,793,258,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,626,793,258,974 is 343051148154.
Find LCM of 473,626,793,258,974 with Prime Factorization
| 2 | 473, 626, 793, 258, 974 |
| 43 | 473, 313, 793, 129, 487 |
| 11, 313, 793, 3, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 11 x 313 x 793 x 3 x 487 = 343051148154
Therefore, the lowest common multiple of 473,626,793,258,974 is 343051148154.
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 626 x 793 x 258 x 974 = 59004797482488
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
626 : 1, 2, 313, 626
793 : 1, 13, 61, 793
258 : 1, 2, 3, 6, 43, 86, 129, 258
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,626,793,258,974, is 1.
Now, the common factors can be found like this.
473:11x 43
626:2x 313
793:13x 61
258:2x 3x 43
974:2x 487
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 43 = 172
Therefore, the value for common factors is 172.
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 = 59004797482488/(1x172)
LCM = 59004797482488/172
LCM = 343051148154
Thus, we can understand that the LCM of 473,626,793,258,974 is 343051148154.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 473, 626, 793, 258, 974
1. What is the LCM of 473, 626, 793, 258, 974?
Answer: LCM of 473, 626, 793, 258, 974 is 343051148154.
2. How to calculate the LCM of 473, 626, 793, 258, 974?
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, 626, 793, 258, 974.
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}.