LCM of 184, 494, 320, 262, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 494, 320, 262, 752 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 184, 494, 320, 262, 752. So, keep reading to learn more.
Given numbers are 184,494,320,262,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,494,320,262,752 is 11192933440.
Find LCM of 184,494,320,262,752 with Prime Factorization
| 2 | 184, 494, 320, 262, 752 |
| 2 | 92, 247, 160, 131, 376 |
| 2 | 46, 247, 80, 131, 188 |
| 2 | 23, 247, 40, 131, 94 |
| 23, 247, 20, 131, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 247 x 20 x 131 x 47 = 11192933440
Therefore, the lowest common multiple of 184,494,320,262,752 is 11192933440.
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.
184 x 494 x 320 x 262 x 752 = 5730781921280
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
494 : 1, 2, 13, 19, 26, 38, 247, 494
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
262 : 1, 2, 131, 262
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,494,320,262,752, is 2.
Now, the common factors can be found like this.
184:2x 2x 2x 23
494:2x 13x 19
320:2x 2x 2x 2x 2x 2x 5
262:2x 131
752:2x 2x 2x 2x 47
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 = 5730781921280/(2x256)
LCM = 5730781921280/512
LCM = 11192933440
Thus, we can understand that the LCM of 184,494,320,262,752 is 11192933440.
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FAQs on LCM of 184, 494, 320, 262, 752
1. What is the LCM of 184, 494, 320, 262, 752?
Answer: LCM of 184, 494, 320, 262, 752 is 11192933440.
2. How to calculate the LCM of 184, 494, 320, 262, 752?
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 184, 494, 320, 262, 752.
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}.