Find the LCM of 398, 578, 866, 669 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 398, 578, 866, 669. So, keep reading to learn more.
Given numbers are 398,578,866,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,578,866,669 is 33319227894.
Find LCM of 398,578,866,669 with Prime Factorization
2 | 398, 578, 866, 669 |
199, 289, 433, 669 |
Multiply the prime numbers at the bottom and the left side.
2 x 199 x 289 x 433 x 669 = 33319227894
Therefore, the lowest common multiple of 398,578,866,669 is 33319227894.
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.
398 x 578 x 866 x 669 = 133276911576
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.
398 : 1, 2, 199, 398
578 : 1, 2, 17, 34, 289, 578
866 : 1, 2, 433, 866
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,578,866,669, is 1.
Now, the common factors can be found like this.
398:2x 199
578:2x 17x 17
866:2x 433
669:3x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 133276911576/(1x4)
LCM = 133276911576/4
LCM = 33319227894
Thus, we can understand that the LCM of 398,578,866,669 is 33319227894.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 578, 866, 669?
Answer: LCM of 398, 578, 866, 669 is 33319227894.
2. How to calculate the LCM of 398, 578, 866, 669?
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 398, 578, 866, 669.
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}.