Find the LCM of 468, 834, 867, 348, 149 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 468, 834, 867, 348, 149. So, keep reading to learn more.
Given numbers are 468,834,867,348,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,834,867,348,149 is 81234920988.
Find LCM of 468,834,867,348,149 with Prime Factorization
2 | 468, 834, 867, 348, 149 |
2 | 234, 417, 867, 174, 149 |
3 | 117, 417, 867, 87, 149 |
39, 139, 289, 29, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 39 x 139 x 289 x 29 x 149 = 81234920988
Therefore, the lowest common multiple of 468,834,867,348,149 is 81234920988.
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.
468 x 834 x 867 x 348 x 149 = 17546742933408
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
834 : 1, 2, 3, 6, 139, 278, 417, 834
867 : 1, 3, 17, 51, 289, 867
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,834,867,348,149, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
834:2x 3x 139
867:3x 17x 17
348:2x 2x 3x 29
149:149
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 17546742933408/(1x216)
LCM = 17546742933408/216
LCM = 81234920988
Thus, we can understand that the LCM of 468,834,867,348,149 is 81234920988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 468, 834, 867, 348, 149?
Answer: LCM of 468, 834, 867, 348, 149 is 81234920988.
2. How to calculate the LCM of 468, 834, 867, 348, 149?
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 468, 834, 867, 348, 149.
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}.