LCM of 449, 222, 192, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 222, 192, 454 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, 222, 192, 454. So, keep reading to learn more.
Given numbers are 449,222,192,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,222,192,454 is 724060992.
Find LCM of 449,222,192,454 with Prime Factorization
| 2 | 449, 222, 192, 454 |
| 3 | 449, 111, 96, 227 |
| 449, 37, 32, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 449 x 37 x 32 x 227 = 724060992
Therefore, the lowest common multiple of 449,222,192,454 is 724060992.
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 222 x 192 x 454 = 8688731904
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
222 : 1, 2, 3, 6, 37, 74, 111, 222
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,222,192,454, is 1.
Now, the common factors can be found like this.
449:449
222:2x 3x 37
192:2x 2x 2x 2x 2x 2x 3
454:2x 227
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 3 = 12
Therefore, the value for common factors is 12.
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 = 8688731904/(1x12)
LCM = 8688731904/12
LCM = 724060992
Thus, we can understand that the LCM of 449,222,192,454 is 724060992.
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FAQs on LCM of 449, 222, 192, 454
1. What is the LCM of 449, 222, 192, 454?
Answer: LCM of 449, 222, 192, 454 is 724060992.
2. How to calculate the LCM of 449, 222, 192, 454?
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, 222, 192, 454.
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}.