LCM of 181, 424, 592, 188, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 424, 592, 188, 689 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, 424, 592, 188, 689. So, keep reading to learn more.
Given numbers are 181,424,592,188,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,424,592,188,689 is 3469903216.
Find LCM of 181,424,592,188,689 with Prime Factorization
| 2 | 181, 424, 592, 188, 689 |
| 2 | 181, 212, 296, 94, 689 |
| 2 | 181, 106, 148, 47, 689 |
| 53 | 181, 53, 74, 47, 689 |
| 181, 1, 74, 47, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 181 x 1 x 74 x 47 x 13 = 3469903216
Therefore, the lowest common multiple of 181,424,592,188,689 is 3469903216.
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 424 x 592 x 188 x 689 = 5884955854336
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
424 : 1, 2, 4, 8, 53, 106, 212, 424
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
188 : 1, 2, 4, 47, 94, 188
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,424,592,188,689, is 1.
Now, the common factors can be found like this.
181:181
424:2x 2x 2x 53
592:2x 2x 2x 2x 37
188:2x 2x 47
689:13x 53
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 53 = 1696
Therefore, the value for common factors is 1696.
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 = 5884955854336/(1x1696)
LCM = 5884955854336/1696
LCM = 3469903216
Thus, we can understand that the LCM of 181,424,592,188,689 is 3469903216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 181, 424, 592, 188, 689
1. What is the LCM of 181, 424, 592, 188, 689?
Answer: LCM of 181, 424, 592, 188, 689 is 3469903216.
2. How to calculate the LCM of 181, 424, 592, 188, 689?
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, 424, 592, 188, 689.
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}.