Find the LCM of 822, 551, 290, 232, 599 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 822, 551, 290, 232, 599. So, keep reading to learn more.
Given numbers are 822,551,290,232,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,551,290,232,599 is 5426005560.
Find LCM of 822,551,290,232,599 with Prime Factorization
2 | 822, 551, 290, 232, 599 |
29 | 411, 551, 145, 116, 599 |
411, 19, 5, 4, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 411 x 19 x 5 x 4 x 599 = 5426005560
Therefore, the lowest common multiple of 822,551,290,232,599 is 5426005560.
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.
822 x 551 x 290 x 232 x 599 = 18253082703840
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
551 : 1, 19, 29, 551
290 : 1, 2, 5, 10, 29, 58, 145, 290
232 : 1, 2, 4, 8, 29, 58, 116, 232
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,551,290,232,599, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
551:19x 29
290:2x 5x 29
232:2x 2x 2x 29
599:599
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 29x 29 = 3364
Therefore, the value for common factors is 3364.
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 = 18253082703840/(1x3364)
LCM = 18253082703840/3364
LCM = 5426005560
Thus, we can understand that the LCM of 822,551,290,232,599 is 5426005560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 551, 290, 232, 599?
Answer: LCM of 822, 551, 290, 232, 599 is 5426005560.
2. How to calculate the LCM of 822, 551, 290, 232, 599?
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 822, 551, 290, 232, 599.
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}.