LCM of 374, 230, 731, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 230, 731, 817 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 374, 230, 731, 817. So, keep reading to learn more.
Given numbers are 374,230,731,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,230,731,817 is 35139170.
Find LCM of 374,230,731,817 with Prime Factorization
| 2 | 374, 230, 731, 817 |
| 17 | 187, 115, 731, 817 |
| 43 | 11, 115, 43, 817 |
| 11, 115, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 43 x 11 x 115 x 1 x 19 = 35139170
Therefore, the lowest common multiple of 374,230,731,817 is 35139170.
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.
374 x 230 x 731 x 817 = 51373466540
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
230 : 1, 2, 5, 10, 23, 46, 115, 230
731 : 1, 17, 43, 731
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,230,731,817, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
230:2x 5x 23
731:17x 43
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 43 = 1462
Therefore, the value for common factors is 1462.
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 = 51373466540/(1x1462)
LCM = 51373466540/1462
LCM = 35139170
Thus, we can understand that the LCM of 374,230,731,817 is 35139170.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 374, 230, 731, 817
1. What is the LCM of 374, 230, 731, 817?
Answer: LCM of 374, 230, 731, 817 is 35139170.
2. How to calculate the LCM of 374, 230, 731, 817?
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 374, 230, 731, 817.
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}.