LCM of 181, 528, 604, 568, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 528, 604, 568, 872 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 181, 528, 604, 568, 872. So, keep reading to learn more.
Given numbers are 181,528,604,568,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,528,604,568,872 is 111679713552.
Find LCM of 181,528,604,568,872 with Prime Factorization
| 2 | 181, 528, 604, 568, 872 |
| 2 | 181, 264, 302, 284, 436 |
| 2 | 181, 132, 151, 142, 218 |
| 181, 66, 151, 71, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 181 x 66 x 151 x 71 x 109 = 111679713552
Therefore, the lowest common multiple of 181,528,604,568,872 is 111679713552.
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.
181 x 528 x 604 x 568 x 872 = 28590006669312
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.
181 : 1, 181
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
604 : 1, 2, 4, 151, 302, 604
568 : 1, 2, 4, 8, 71, 142, 284, 568
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,528,604,568,872, is 1.
Now, the common factors can be found like this.
181:181
528:2x 2x 2x 2x 3x 11
604:2x 2x 151
568:2x 2x 2x 71
872:2x 2x 2x 109
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 2 = 256
Therefore, the value for common factors is 256.
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 = 28590006669312/(1x256)
LCM = 28590006669312/256
LCM = 111679713552
Thus, we can understand that the LCM of 181,528,604,568,872 is 111679713552.
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FAQs on LCM of 181, 528, 604, 568, 872
1. What is the LCM of 181, 528, 604, 568, 872?
Answer: LCM of 181, 528, 604, 568, 872 is 111679713552.
2. How to calculate the LCM of 181, 528, 604, 568, 872?
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 181, 528, 604, 568, 872.
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}.