Find the LCM of 440, 969, 840, 944, 517 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 440, 969, 840, 944, 517. So, keep reading to learn more.
Given numbers are 440,969,840,944,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,969,840,944,517 is 16552147920.
Find LCM of 440,969,840,944,517 with Prime Factorization
2 | 440, 969, 840, 944, 517 |
2 | 220, 969, 420, 472, 517 |
2 | 110, 969, 210, 236, 517 |
3 | 55, 969, 105, 118, 517 |
5 | 55, 323, 35, 118, 517 |
11 | 11, 323, 7, 118, 517 |
1, 323, 7, 118, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 1 x 323 x 7 x 118 x 47 = 16552147920
Therefore, the lowest common multiple of 440,969,840,944,517 is 16552147920.
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.
440 x 969 x 840 x 944 x 517 = 174790682035200
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
969 : 1, 3, 17, 19, 51, 57, 323, 969
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,969,840,944,517, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
969:3x 17x 19
840:2x 2x 2x 3x 5x 7
944:2x 2x 2x 2x 59
517:11x 47
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 3x 5x 11 = 10560
Therefore, the value for common factors is 10560.
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 = 174790682035200/(1x10560)
LCM = 174790682035200/10560
LCM = 16552147920
Thus, we can understand that the LCM of 440,969,840,944,517 is 16552147920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 440, 969, 840, 944, 517?
Answer: LCM of 440, 969, 840, 944, 517 is 16552147920.
2. How to calculate the LCM of 440, 969, 840, 944, 517?
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 440, 969, 840, 944, 517.
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}.