LCM of 484, 935, 632, 420, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 935, 632, 420, 184 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 484, 935, 632, 420, 184. So, keep reading to learn more.
Given numbers are 484,935,632,420,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,935,632,420,184 is 3139557960.
Find LCM of 484,935,632,420,184 with Prime Factorization
| 2 | 484, 935, 632, 420, 184 |
| 2 | 242, 935, 316, 210, 92 |
| 2 | 121, 935, 158, 105, 46 |
| 5 | 121, 935, 79, 105, 23 |
| 11 | 121, 187, 79, 21, 23 |
| 11, 17, 79, 21, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 11 x 17 x 79 x 21 x 23 = 3139557960
Therefore, the lowest common multiple of 484,935,632,420,184 is 3139557960.
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.
484 x 935 x 632 x 420 x 184 = 22102488038400
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
935 : 1, 5, 11, 17, 55, 85, 187, 935
632 : 1, 2, 4, 8, 79, 158, 316, 632
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,935,632,420,184, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
935:5x 11x 17
632:2x 2x 2x 79
420:2x 2x 3x 5x 7
184:2x 2x 2x 23
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 5x 11 = 7040
Therefore, the value for common factors is 7040.
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 = 22102488038400/(1x7040)
LCM = 22102488038400/7040
LCM = 3139557960
Thus, we can understand that the LCM of 484,935,632,420,184 is 3139557960.
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FAQs on LCM of 484, 935, 632, 420, 184
1. What is the LCM of 484, 935, 632, 420, 184?
Answer: LCM of 484, 935, 632, 420, 184 is 3139557960.
2. How to calculate the LCM of 484, 935, 632, 420, 184?
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 484, 935, 632, 420, 184.
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}.