Find the LCM of 488, 577, 352, 568, 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 488, 577, 352, 568, 149. So, keep reading to learn more.
Given numbers are 488,577,352,568,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 488,577,352,568,149 is 131066870176.
Find LCM of 488,577,352,568,149 with Prime Factorization
2 | 488, 577, 352, 568, 149 |
2 | 244, 577, 176, 284, 149 |
2 | 122, 577, 88, 142, 149 |
61, 577, 44, 71, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 61 x 577 x 44 x 71 x 149 = 131066870176
Therefore, the lowest common multiple of 488,577,352,568,149 is 131066870176.
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.
488 x 577 x 352 x 568 x 149 = 8388279691264
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.
488 : 1, 2, 4, 8, 61, 122, 244, 488
577 : 1, 577
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
568 : 1, 2, 4, 8, 71, 142, 284, 568
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,577,352,568,149, is 1.
Now, the common factors can be found like this.
488:2x 2x 2x 61
577:577
352:2x 2x 2x 2x 2x 11
568:2x 2x 2x 71
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 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 8388279691264/(1x64)
LCM = 8388279691264/64
LCM = 131066870176
Thus, we can understand that the LCM of 488,577,352,568,149 is 131066870176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 488, 577, 352, 568, 149?
Answer: LCM of 488, 577, 352, 568, 149 is 131066870176.
2. How to calculate the LCM of 488, 577, 352, 568, 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 488, 577, 352, 568, 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}.