Find the LCM of 146, 208, 824, 460, 988 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 146, 208, 824, 460, 988. So, keep reading to learn more.
Given numbers are 146,208,824,460,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,208,824,460,988 is 3417235120.
Find LCM of 146,208,824,460,988 with Prime Factorization
2 | 146, 208, 824, 460, 988 |
2 | 73, 104, 412, 230, 494 |
2 | 73, 52, 206, 115, 247 |
13 | 73, 26, 103, 115, 247 |
73, 2, 103, 115, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 73 x 2 x 103 x 115 x 19 = 3417235120
Therefore, the lowest common multiple of 146,208,824,460,988 is 3417235120.
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.
146 x 208 x 824 x 460 x 988 = 11372558479360
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.
146 : 1, 2, 73, 146
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
824 : 1, 2, 4, 8, 103, 206, 412, 824
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,208,824,460,988, is 2.
Now, the common factors can be found like this.
146:2x 73
208:2x 2x 2x 2x 13
824:2x 2x 2x 103
460:2x 2x 5x 23
988:2x 2x 13x 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 2x 2x 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 11372558479360/(2x1664)
LCM = 11372558479360/3328
LCM = 3417235120
Thus, we can understand that the LCM of 146,208,824,460,988 is 3417235120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 146, 208, 824, 460, 988?
Answer: LCM of 146, 208, 824, 460, 988 is 3417235120.
2. How to calculate the LCM of 146, 208, 824, 460, 988?
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 146, 208, 824, 460, 988.
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}.