LCM of 449, 420, 298, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 420, 298, 348 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 449, 420, 298, 348. So, keep reading to learn more.
Given numbers are 449,420,298,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,420,298,348 is 814854180.
Find LCM of 449,420,298,348 with Prime Factorization
| 2 | 449, 420, 298, 348 |
| 2 | 449, 210, 149, 174 |
| 3 | 449, 105, 149, 87 |
| 449, 35, 149, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 449 x 35 x 149 x 29 = 814854180
Therefore, the lowest common multiple of 449,420,298,348 is 814854180.
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.
449 x 420 x 298 x 348 = 19556500320
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.
449 : 1, 449
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
298 : 1, 2, 149, 298
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,420,298,348, is 1.
Now, the common factors can be found like this.
449:449
420:2x 2x 3x 5x 7
298:2x 149
348:2x 2x 3x 29
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 3 = 24
Therefore, the value for common factors is 24.
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 = 19556500320/(1x24)
LCM = 19556500320/24
LCM = 814854180
Thus, we can understand that the LCM of 449,420,298,348 is 814854180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 449, 420, 298, 348
1. What is the LCM of 449, 420, 298, 348?
Answer: LCM of 449, 420, 298, 348 is 814854180.
2. How to calculate the LCM of 449, 420, 298, 348?
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 449, 420, 298, 348.
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}.