Find the LCM of 389, 309, 824, 645, 566 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 389, 309, 824, 645, 566. So, keep reading to learn more.
Given numbers are 389,309,824,645,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,309,824,645,566 is 58509038760.
Find LCM of 389,309,824,645,566 with Prime Factorization
2 | 389, 309, 824, 645, 566 |
3 | 389, 309, 412, 645, 283 |
103 | 389, 103, 412, 215, 283 |
389, 1, 4, 215, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 389 x 1 x 4 x 215 x 283 = 58509038760
Therefore, the lowest common multiple of 389,309,824,645,566 is 58509038760.
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.
389 x 309 x 824 x 645 x 566 = 36158585953680
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.
389 : 1, 389
309 : 1, 3, 103, 309
824 : 1, 2, 4, 8, 103, 206, 412, 824
645 : 1, 3, 5, 15, 43, 129, 215, 645
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,309,824,645,566, is 1.
Now, the common factors can be found like this.
389:389
309:3x 103
824:2x 2x 2x 103
645:3x 5x 43
566:2x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 103 = 618
Therefore, the value for common factors is 618.
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 = 36158585953680/(1x618)
LCM = 36158585953680/618
LCM = 58509038760
Thus, we can understand that the LCM of 389,309,824,645,566 is 58509038760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 389, 309, 824, 645, 566?
Answer: LCM of 389, 309, 824, 645, 566 is 58509038760.
2. How to calculate the LCM of 389, 309, 824, 645, 566?
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 389, 309, 824, 645, 566.
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}.