Find the LCM of 884, 597, 199, 305, 533 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 884, 597, 199, 305, 533. So, keep reading to learn more.
Given numbers are 884,597,199,305,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,597,199,305,533 is 6599488740.
Find LCM of 884,597,199,305,533 with Prime Factorization
13 | 884, 597, 199, 305, 533 |
199 | 68, 597, 199, 305, 41 |
68, 3, 1, 305, 41 |
Multiply the prime numbers at the bottom and the left side.
13 x 199 x 68 x 3 x 1 x 305 x 41 = 6599488740
Therefore, the lowest common multiple of 884,597,199,305,533 is 6599488740.
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.
884 x 597 x 199 x 305 x 533 = 17072877370380
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
597 : 1, 3, 199, 597
199 : 1, 199
305 : 1, 5, 61, 305
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,597,199,305,533, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
597:3x 199
199:199
305:5x 61
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 199 = 2587
Therefore, the value for common factors is 2587.
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 = 17072877370380/(1x2587)
LCM = 17072877370380/2587
LCM = 6599488740
Thus, we can understand that the LCM of 884,597,199,305,533 is 6599488740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 597, 199, 305, 533?
Answer: LCM of 884, 597, 199, 305, 533 is 6599488740.
2. How to calculate the LCM of 884, 597, 199, 305, 533?
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 884, 597, 199, 305, 533.
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}.