LCM of 451, 429, 248, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 429, 248, 434 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 451, 429, 248, 434. So, keep reading to learn more.
Given numbers are 451,429,248,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,429,248,434 is 30534504.
Find LCM of 451,429,248,434 with Prime Factorization
| 2 | 451, 429, 248, 434 |
| 11 | 451, 429, 124, 217 |
| 31 | 41, 39, 124, 217 |
| 41, 39, 4, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 41 x 39 x 4 x 7 = 30534504
Therefore, the lowest common multiple of 451,429,248,434 is 30534504.
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.
451 x 429 x 248 x 434 = 20824531728
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.
451 : 1, 11, 41, 451
429 : 1, 3, 11, 13, 33, 39, 143, 429
248 : 1, 2, 4, 8, 31, 62, 124, 248
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,429,248,434, is 1.
Now, the common factors can be found like this.
451:11x 41
429:3x 11x 13
248:2x 2x 2x 31
434:2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 31 = 682
Therefore, the value for common factors is 682.
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 = 20824531728/(1x682)
LCM = 20824531728/682
LCM = 30534504
Thus, we can understand that the LCM of 451,429,248,434 is 30534504.
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FAQs on LCM of 451, 429, 248, 434
1. What is the LCM of 451, 429, 248, 434?
Answer: LCM of 451, 429, 248, 434 is 30534504.
2. How to calculate the LCM of 451, 429, 248, 434?
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 451, 429, 248, 434.
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}.