LCM of 589, 732, 263, 488, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 732, 263, 488, 832 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 589, 732, 263, 488, 832. So, keep reading to learn more.
Given numbers are 589,732,263,488,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,732,263,488,832 is 23585520192.
Find LCM of 589,732,263,488,832 with Prime Factorization
| 2 | 589, 732, 263, 488, 832 |
| 2 | 589, 366, 263, 244, 416 |
| 2 | 589, 183, 263, 122, 208 |
| 61 | 589, 183, 263, 61, 104 |
| 589, 3, 263, 1, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 61 x 589 x 3 x 263 x 1 x 104 = 23585520192
Therefore, the lowest common multiple of 589,732,263,488,832 is 23585520192.
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.
589 x 732 x 263 x 488 x 832 = 46038935414784
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.
589 : 1, 19, 31, 589
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
263 : 1, 263
488 : 1, 2, 4, 8, 61, 122, 244, 488
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,732,263,488,832, is 1.
Now, the common factors can be found like this.
589:19x 31
732:2x 2x 3x 61
263:263
488:2x 2x 2x 61
832:2x 2x 2x 2x 2x 2x 13
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 61 = 1952
Therefore, the value for common factors is 1952.
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 = 46038935414784/(1x1952)
LCM = 46038935414784/1952
LCM = 23585520192
Thus, we can understand that the LCM of 589,732,263,488,832 is 23585520192.
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FAQs on LCM of 589, 732, 263, 488, 832
1. What is the LCM of 589, 732, 263, 488, 832?
Answer: LCM of 589, 732, 263, 488, 832 is 23585520192.
2. How to calculate the LCM of 589, 732, 263, 488, 832?
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 589, 732, 263, 488, 832.
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}.