LCM of 438, 478, 346, 692, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 478, 346, 692, 460 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 438, 478, 346, 692, 460. So, keep reading to learn more.
Given numbers are 438,478,346,692,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,478,346,692,460 is 4165296780.
Find LCM of 438,478,346,692,460 with Prime Factorization
| 2 | 438, 478, 346, 692, 460 |
| 2 | 219, 239, 173, 346, 230 |
| 173 | 219, 239, 173, 173, 115 |
| 219, 239, 1, 1, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 173 x 219 x 239 x 1 x 1 x 115 = 4165296780
Therefore, the lowest common multiple of 438,478,346,692,460 is 4165296780.
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.
438 x 478 x 346 x 692 x 460 = 23059082974080
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
478 : 1, 2, 239, 478
346 : 1, 2, 173, 346
692 : 1, 2, 4, 173, 346, 692
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,478,346,692,460, is 2.
Now, the common factors can be found like this.
438:2x 3x 73
478:2x 239
346:2x 173
692:2x 2x 173
460:2x 2x 5x 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 2x 2x 2x 173 = 2768
Therefore, the value for common factors is 2768.
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 = 23059082974080/(2x2768)
LCM = 23059082974080/5536
LCM = 4165296780
Thus, we can understand that the LCM of 438,478,346,692,460 is 4165296780.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 438, 478, 346, 692, 460
1. What is the LCM of 438, 478, 346, 692, 460?
Answer: LCM of 438, 478, 346, 692, 460 is 4165296780.
2. How to calculate the LCM of 438, 478, 346, 692, 460?
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 438, 478, 346, 692, 460.
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}.