Find the LCM of 184, 838, 153, 368, 812 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 184, 838, 153, 368, 812. So, keep reading to learn more.
Given numbers are 184,838,153,368,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,838,153,368,812 is 4789049328.
Find LCM of 184,838,153,368,812 with Prime Factorization
2 | 184, 838, 153, 368, 812 |
2 | 92, 419, 153, 184, 406 |
2 | 46, 419, 153, 92, 203 |
23 | 23, 419, 153, 46, 203 |
1, 419, 153, 2, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 1 x 419 x 153 x 2 x 203 = 4789049328
Therefore, the lowest common multiple of 184,838,153,368,812 is 4789049328.
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.
184 x 838 x 153 x 368 x 812 = 7049480610816
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
838 : 1, 2, 419, 838
153 : 1, 3, 9, 17, 51, 153
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,838,153,368,812, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
838:2x 419
153:3x 3x 17
368:2x 2x 2x 2x 23
812:2x 2x 7x 29
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 2x 23 = 1472
Therefore, the value for common factors is 1472.
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 = 7049480610816/(1x1472)
LCM = 7049480610816/1472
LCM = 4789049328
Thus, we can understand that the LCM of 184,838,153,368,812 is 4789049328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 184, 838, 153, 368, 812?
Answer: LCM of 184, 838, 153, 368, 812 is 4789049328.
2. How to calculate the LCM of 184, 838, 153, 368, 812?
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 184, 838, 153, 368, 812.
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}.