Find the LCM of 551, 199, 522, 280, 859 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 551, 199, 522, 280, 859. So, keep reading to learn more.
Given numbers are 551,199,522,280,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,199,522,280,859 is 237354997320.
Find LCM of 551,199,522,280,859 with Prime Factorization
2 | 551, 199, 522, 280, 859 |
29 | 551, 199, 261, 140, 859 |
19, 199, 9, 140, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 19 x 199 x 9 x 140 x 859 = 237354997320
Therefore, the lowest common multiple of 551,199,522,280,859 is 237354997320.
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.
551 x 199 x 522 x 280 x 859 = 13766589844560
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.
551 : 1, 19, 29, 551
199 : 1, 199
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,199,522,280,859, is 1.
Now, the common factors can be found like this.
551:19x 29
199:199
522:2x 3x 3x 29
280:2x 2x 2x 5x 7
859:859
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 13766589844560/(1x58)
LCM = 13766589844560/58
LCM = 237354997320
Thus, we can understand that the LCM of 551,199,522,280,859 is 237354997320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 199, 522, 280, 859?
Answer: LCM of 551, 199, 522, 280, 859 is 237354997320.
2. How to calculate the LCM of 551, 199, 522, 280, 859?
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 551, 199, 522, 280, 859.
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}.