Find the LCM of 859, 551, 646, 399 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 859, 551, 646, 399. So, keep reading to learn more.
Given numbers are 859,551,646,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,551,646,399 is 337942626.
Find LCM of 859,551,646,399 with Prime Factorization
19 | 859, 551, 646, 399 |
859, 29, 34, 21 |
Multiply the prime numbers at the bottom and the left side.
19 x 859 x 29 x 34 x 21 = 337942626
Therefore, the lowest common multiple of 859,551,646,399 is 337942626.
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.
859 x 551 x 646 x 399 = 121997287986
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.
859 : 1, 859
551 : 1, 19, 29, 551
646 : 1, 2, 17, 19, 34, 38, 323, 646
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,551,646,399, is 1.
Now, the common factors can be found like this.
859:859
551:19x 29
646:2x 17x 19
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 19 = 361
Therefore, the value for common factors is 361.
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 = 121997287986/(1x361)
LCM = 121997287986/361
LCM = 337942626
Thus, we can understand that the LCM of 859,551,646,399 is 337942626.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 859, 551, 646, 399?
Answer: LCM of 859, 551, 646, 399 is 337942626.
2. How to calculate the LCM of 859, 551, 646, 399?
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 859, 551, 646, 399.
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}.