Find the LCM of 366, 880, 283, 984, 464 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 366, 880, 283, 984, 464. So, keep reading to learn more.
Given numbers are 366,880,283,984,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,880,283,984,464 is 54187866480.
Find LCM of 366,880,283,984,464 with Prime Factorization
2 | 366, 880, 283, 984, 464 |
2 | 183, 440, 283, 492, 232 |
2 | 183, 220, 283, 246, 116 |
2 | 183, 110, 283, 123, 58 |
3 | 183, 55, 283, 123, 29 |
61, 55, 283, 41, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 61 x 55 x 283 x 41 x 29 = 54187866480
Therefore, the lowest common multiple of 366,880,283,984,464 is 54187866480.
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.
366 x 880 x 283 x 984 x 464 = 41616281456640
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
283 : 1, 283
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,880,283,984,464, is 1.
Now, the common factors can be found like this.
366:2x 3x 61
880:2x 2x 2x 2x 5x 11
283:283
984:2x 2x 2x 3x 41
464:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 41616281456640/(1x768)
LCM = 41616281456640/768
LCM = 54187866480
Thus, we can understand that the LCM of 366,880,283,984,464 is 54187866480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 366, 880, 283, 984, 464?
Answer: LCM of 366, 880, 283, 984, 464 is 54187866480.
2. How to calculate the LCM of 366, 880, 283, 984, 464?
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 366, 880, 283, 984, 464.
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}.