Find the LCM of 414, 966, 394, 802 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 414, 966, 394, 802. So, keep reading to learn more.
Given numbers are 414,966,394,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,966,394,802 is 228933306.
Find LCM of 414,966,394,802 with Prime Factorization
2 | 414, 966, 394, 802 |
3 | 207, 483, 197, 401 |
23 | 69, 161, 197, 401 |
3, 7, 197, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 3 x 7 x 197 x 401 = 228933306
Therefore, the lowest common multiple of 414,966,394,802 is 228933306.
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.
414 x 966 x 394 x 802 = 126371184912
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
394 : 1, 2, 197, 394
802 : 1, 2, 401, 802
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,966,394,802, is 2.
Now, the common factors can be found like this.
414:2x 3x 3x 23
966:2x 3x 7x 23
394:2x 197
802:2x 401
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 = 126371184912/(2x276)
LCM = 126371184912/552
LCM = 228933306
Thus, we can understand that the LCM of 414,966,394,802 is 228933306.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 414, 966, 394, 802?
Answer: LCM of 414, 966, 394, 802 is 228933306.
2. How to calculate the LCM of 414, 966, 394, 802?
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 414, 966, 394, 802.
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}.