LCM of 184, 383, 968, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 383, 968, 552 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, 383, 968, 552. So, keep reading to learn more.
Given numbers are 184,383,968,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,383,968,552 is 25581336.
Find LCM of 184,383,968,552 with Prime Factorization
| 2 | 184, 383, 968, 552 |
| 2 | 92, 383, 484, 276 |
| 2 | 46, 383, 242, 138 |
| 23 | 23, 383, 121, 69 |
| 1, 383, 121, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 1 x 383 x 121 x 3 = 25581336
Therefore, the lowest common multiple of 184,383,968,552 is 25581336.
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 383 x 968 x 552 = 37655726592
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
383 : 1, 383
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,383,968,552, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
383:383
968:2x 2x 2x 11x 11
552:2x 2x 2x 3x 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 23 = 1472
Therefore, the value for common factors is 1472.
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 = 37655726592/(1x1472)
LCM = 37655726592/1472
LCM = 25581336
Thus, we can understand that the LCM of 184,383,968,552 is 25581336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 184, 383, 968, 552
1. What is the LCM of 184, 383, 968, 552?
Answer: LCM of 184, 383, 968, 552 is 25581336.
2. How to calculate the LCM of 184, 383, 968, 552?
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, 383, 968, 552.
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}.