LCM of 366, 942, 309, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 366, 942, 309, 192 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 366, 942, 309, 192. So, keep reading to learn more.
Given numbers are 366,942,309,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,942,309,192 is 189394752.
Find LCM of 366,942,309,192 with Prime Factorization
| 2 | 366, 942, 309, 192 |
| 3 | 183, 471, 309, 96 |
| 61, 157, 103, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 157 x 103 x 32 = 189394752
Therefore, the lowest common multiple of 366,942,309,192 is 189394752.
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.
366 x 942 x 309 x 192 = 20454633216
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
942 : 1, 2, 3, 6, 157, 314, 471, 942
309 : 1, 3, 103, 309
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,942,309,192, is 3.
Now, the common factors can be found like this.
366:2x 3x 61
942:2x 3x 157
309:3x 103
192:2x 2x 2x 2x 2x 2x 3
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 20454633216/(3x36)
LCM = 20454633216/108
LCM = 189394752
Thus, we can understand that the LCM of 366,942,309,192 is 189394752.
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FAQs on LCM of 366, 942, 309, 192
1. What is the LCM of 366, 942, 309, 192?
Answer: LCM of 366, 942, 309, 192 is 189394752.
2. How to calculate the LCM of 366, 942, 309, 192?
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 366, 942, 309, 192.
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}.