LCM of 731, 575, 102, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 575, 102, 506 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 731, 575, 102, 506. So, keep reading to learn more.
Given numbers are 731,575,102,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,575,102,506 is 27741450.
Find LCM of 731,575,102,506 with Prime Factorization
| 2 | 731, 575, 102, 506 |
| 17 | 731, 575, 51, 253 |
| 23 | 43, 575, 3, 253 |
| 43, 25, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 43 x 25 x 3 x 11 = 27741450
Therefore, the lowest common multiple of 731,575,102,506 is 27741450.
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.
731 x 575 x 102 x 506 = 21693813900
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.
731 : 1, 17, 43, 731
575 : 1, 5, 23, 25, 115, 575
102 : 1, 2, 3, 6, 17, 34, 51, 102
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,575,102,506, is 1.
Now, the common factors can be found like this.
731:17x 43
575:5x 5x 23
102:2x 3x 17
506:2x 11x 23
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 23 = 782
Therefore, the value for common factors is 782.
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 = 21693813900/(1x782)
LCM = 21693813900/782
LCM = 27741450
Thus, we can understand that the LCM of 731,575,102,506 is 27741450.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 731, 575, 102, 506
1. What is the LCM of 731, 575, 102, 506?
Answer: LCM of 731, 575, 102, 506 is 27741450.
2. How to calculate the LCM of 731, 575, 102, 506?
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 731, 575, 102, 506.
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}.