LCM of 112, 218, 184, 663, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 218, 184, 663, 952 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 112, 218, 184, 663, 952. So, keep reading to learn more.
Given numbers are 112,218,184,663,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,218,184,663,952 is 186159792.
Find LCM of 112,218,184,663,952 with Prime Factorization
| 2 | 112, 218, 184, 663, 952 |
| 2 | 56, 109, 92, 663, 476 |
| 2 | 28, 109, 46, 663, 238 |
| 7 | 14, 109, 23, 663, 119 |
| 17 | 2, 109, 23, 663, 17 |
| 2, 109, 23, 39, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 2 x 109 x 23 x 39 x 1 = 186159792
Therefore, the lowest common multiple of 112,218,184,663,952 is 186159792.
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.
112 x 218 x 184 x 663 x 952 = 2835585951744
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
218 : 1, 2, 109, 218
184 : 1, 2, 4, 8, 23, 46, 92, 184
663 : 1, 3, 13, 17, 39, 51, 221, 663
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,218,184,663,952, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
218:2x 109
184:2x 2x 2x 23
663:3x 13x 17
952:2x 2x 2x 7x 17
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 7x 17 = 15232
Therefore, the value for common factors is 15232.
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 = 2835585951744/(1x15232)
LCM = 2835585951744/15232
LCM = 186159792
Thus, we can understand that the LCM of 112,218,184,663,952 is 186159792.
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FAQs on LCM of 112, 218, 184, 663, 952
1. What is the LCM of 112, 218, 184, 663, 952?
Answer: LCM of 112, 218, 184, 663, 952 is 186159792.
2. How to calculate the LCM of 112, 218, 184, 663, 952?
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 112, 218, 184, 663, 952.
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}.