Find the LCM of 282, 920, 886, 414 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 282, 920, 886, 414. So, keep reading to learn more.
Given numbers are 282,920,886,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,920,886,414 is 172397880.
Find LCM of 282,920,886,414 with Prime Factorization
2 | 282, 920, 886, 414 |
3 | 141, 460, 443, 207 |
23 | 47, 460, 443, 69 |
47, 20, 443, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 47 x 20 x 443 x 3 = 172397880
Therefore, the lowest common multiple of 282,920,886,414 is 172397880.
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.
282 x 920 x 886 x 414 = 95163629760
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
886 : 1, 2, 443, 886
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,920,886,414, is 2.
Now, the common factors can be found like this.
282:2x 3x 47
920:2x 2x 2x 5x 23
886:2x 443
414:2x 3x 3x 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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 95163629760/(2x276)
LCM = 95163629760/552
LCM = 172397880
Thus, we can understand that the LCM of 282,920,886,414 is 172397880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 920, 886, 414?
Answer: LCM of 282, 920, 886, 414 is 172397880.
2. How to calculate the LCM of 282, 920, 886, 414?
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 282, 920, 886, 414.
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}.