LCM of 184, 920, 258, 986, 275
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 920, 258, 986, 275 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, 920, 258, 986, 275. So, keep reading to learn more.
Given numbers are 184,920,258,986,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,920,258,986,275 is 3218008200.
Find LCM of 184,920,258,986,275 with Prime Factorization
| 2 | 184, 920, 258, 986, 275 |
| 2 | 92, 460, 129, 493, 275 |
| 2 | 46, 230, 129, 493, 275 |
| 5 | 23, 115, 129, 493, 275 |
| 23 | 23, 23, 129, 493, 55 |
| 1, 1, 129, 493, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 23 x 1 x 1 x 129 x 493 x 55 = 3218008200
Therefore, the lowest common multiple of 184,920,258,986,275 is 3218008200.
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 920 x 258 x 986 x 275 = 11842270176000
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
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
258 : 1, 2, 3, 6, 43, 86, 129, 258
986 : 1, 2, 17, 29, 34, 58, 493, 986
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,920,258,986,275, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
920:2x 2x 2x 5x 23
258:2x 3x 43
986:2x 17x 29
275:5x 5x 11
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 5x 23 = 3680
Therefore, the value for common factors is 3680.
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 = 11842270176000/(1x3680)
LCM = 11842270176000/3680
LCM = 3218008200
Thus, we can understand that the LCM of 184,920,258,986,275 is 3218008200.
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FAQs on LCM of 184, 920, 258, 986, 275
1. What is the LCM of 184, 920, 258, 986, 275?
Answer: LCM of 184, 920, 258, 986, 275 is 3218008200.
2. How to calculate the LCM of 184, 920, 258, 986, 275?
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, 920, 258, 986, 275.
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}.