Find the LCM of 849, 748, 816, 836 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 849, 748, 816, 836. So, keep reading to learn more.
Given numbers are 849,748,816,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,748,816,836 is 48263952.
Find LCM of 849,748,816,836 with Prime Factorization
2 | 849, 748, 816, 836 |
2 | 849, 374, 408, 418 |
3 | 849, 187, 204, 209 |
11 | 283, 187, 68, 209 |
17 | 283, 17, 68, 19 |
283, 1, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 283 x 1 x 4 x 19 = 48263952
Therefore, the lowest common multiple of 849,748,816,836 is 48263952.
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.
849 x 748 x 816 x 836 = 433217233152
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.
849 : 1, 3, 283, 849
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,748,816,836, is 1.
Now, the common factors can be found like this.
849:3x 283
748:2x 2x 11x 17
816:2x 2x 2x 2x 3x 17
836:2x 2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 433217233152/(1x8976)
LCM = 433217233152/8976
LCM = 48263952
Thus, we can understand that the LCM of 849,748,816,836 is 48263952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 849, 748, 816, 836?
Answer: LCM of 849, 748, 816, 836 is 48263952.
2. How to calculate the LCM of 849, 748, 816, 836?
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 849, 748, 816, 836.
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}.