Find the LCM of 399, 836, 840, 589, 969 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 399, 836, 840, 589, 969. So, keep reading to learn more.
Given numbers are 399,836,840,589,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,836,840,589,969 is 92520120.
Find LCM of 399,836,840,589,969 with Prime Factorization
2 | 399, 836, 840, 589, 969 |
2 | 399, 418, 420, 589, 969 |
3 | 399, 209, 210, 589, 969 |
7 | 133, 209, 70, 589, 323 |
19 | 19, 209, 10, 589, 323 |
1, 11, 10, 31, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 1 x 11 x 10 x 31 x 17 = 92520120
Therefore, the lowest common multiple of 399,836,840,589,969 is 92520120.
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.
399 x 836 x 840 x 589 x 969 = 159918066776160
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
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
589 : 1, 19, 31, 589
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,836,840,589,969, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
836:2x 2x 11x 19
840:2x 2x 2x 3x 5x 7
589:19x 31
969:3x 17x 19
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 3x 7x 19x 19x 19 = 1728468
Therefore, the value for common factors is 1728468.
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 = 159918066776160/(1x1728468)
LCM = 159918066776160/1728468
LCM = 92520120
Thus, we can understand that the LCM of 399,836,840,589,969 is 92520120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 399, 836, 840, 589, 969?
Answer: LCM of 399, 836, 840, 589, 969 is 92520120.
2. How to calculate the LCM of 399, 836, 840, 589, 969?
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 399, 836, 840, 589, 969.
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}.