LCM of 232, 208, 647, 552, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 208, 647, 552, 762 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 232, 208, 647, 552, 762. So, keep reading to learn more.
Given numbers are 232,208,647,552,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,208,647,552,762 is 34199395152.
Find LCM of 232,208,647,552,762 with Prime Factorization
| 2 | 232, 208, 647, 552, 762 |
| 2 | 116, 104, 647, 276, 381 |
| 2 | 58, 52, 647, 138, 381 |
| 3 | 29, 26, 647, 69, 381 |
| 29, 26, 647, 23, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 26 x 647 x 23 x 127 = 34199395152
Therefore, the lowest common multiple of 232,208,647,552,762 is 34199395152.
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.
232 x 208 x 647 x 552 x 762 = 13132567738368
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
647 : 1, 647
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,208,647,552,762, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
208:2x 2x 2x 2x 13
647:647
552:2x 2x 2x 3x 23
762:2x 3x 127
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 3 = 384
Therefore, the value for common factors is 384.
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 = 13132567738368/(1x384)
LCM = 13132567738368/384
LCM = 34199395152
Thus, we can understand that the LCM of 232,208,647,552,762 is 34199395152.
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FAQs on LCM of 232, 208, 647, 552, 762
1. What is the LCM of 232, 208, 647, 552, 762?
Answer: LCM of 232, 208, 647, 552, 762 is 34199395152.
2. How to calculate the LCM of 232, 208, 647, 552, 762?
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 232, 208, 647, 552, 762.
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}.