Find the LCM of 608, 884, 216, 841, 153 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 608, 884, 216, 841, 153. So, keep reading to learn more.
Given numbers are 608,884,216,841,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,884,216,841,153 is 3051094176.
Find LCM of 608,884,216,841,153 with Prime Factorization
2 | 608, 884, 216, 841, 153 |
2 | 304, 442, 108, 841, 153 |
2 | 152, 221, 54, 841, 153 |
3 | 76, 221, 27, 841, 153 |
3 | 76, 221, 9, 841, 51 |
17 | 76, 221, 3, 841, 17 |
76, 13, 3, 841, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 17 x 76 x 13 x 3 x 841 x 1 = 3051094176
Therefore, the lowest common multiple of 608,884,216,841,153 is 3051094176.
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.
608 x 884 x 216 x 841 x 153 = 14938157085696
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
841 : 1, 29, 841
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,884,216,841,153, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
884:2x 2x 13x 17
216:2x 2x 2x 3x 3x 3
841:29x 29
153:3x 3x 17
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 2x 3x 3x 17 = 4896
Therefore, the value for common factors is 4896.
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 = 14938157085696/(1x4896)
LCM = 14938157085696/4896
LCM = 3051094176
Thus, we can understand that the LCM of 608,884,216,841,153 is 3051094176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 884, 216, 841, 153?
Answer: LCM of 608, 884, 216, 841, 153 is 3051094176.
2. How to calculate the LCM of 608, 884, 216, 841, 153?
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 608, 884, 216, 841, 153.
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}.