LCM of 184, 548, 460, 747, 332
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 548, 460, 747, 332 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, 548, 460, 747, 332. So, keep reading to learn more.
Given numbers are 184,548,460,747,332
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,548,460,747,332 is 94151880.
Find LCM of 184,548,460,747,332 with Prime Factorization
| 2 | 184, 548, 460, 747, 332 |
| 2 | 92, 274, 230, 747, 166 |
| 23 | 46, 137, 115, 747, 83 |
| 83 | 2, 137, 5, 747, 83 |
| 2, 137, 5, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 83 x 2 x 137 x 5 x 9 x 1 = 94151880
Therefore, the lowest common multiple of 184,548,460,747,332 is 94151880.
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 548 x 460 x 747 x 332 = 11503100090880
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
548 : 1, 2, 4, 137, 274, 548
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
747 : 1, 3, 9, 83, 249, 747
332 : 1, 2, 4, 83, 166, 332
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,548,460,747,332, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
548:2x 2x 137
460:2x 2x 5x 23
747:3x 3x 83
332:2x 2x 83
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 23x 83 = 122176
Therefore, the value for common factors is 122176.
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 = 11503100090880/(1x122176)
LCM = 11503100090880/122176
LCM = 94151880
Thus, we can understand that the LCM of 184,548,460,747,332 is 94151880.
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FAQs on LCM of 184, 548, 460, 747, 332
1. What is the LCM of 184, 548, 460, 747, 332?
Answer: LCM of 184, 548, 460, 747, 332 is 94151880.
2. How to calculate the LCM of 184, 548, 460, 747, 332?
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, 548, 460, 747, 332.
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}.