LCM of 148, 360, 368, 178, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 148, 360, 368, 178, 311 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 148, 360, 368, 178, 311. So, keep reading to learn more.
Given numbers are 148,360,368,178,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,360,368,178,311 is 16959476880.
Find LCM of 148,360,368,178,311 with Prime Factorization
| 2 | 148, 360, 368, 178, 311 |
| 2 | 74, 180, 184, 89, 311 |
| 2 | 37, 90, 92, 89, 311 |
| 37, 45, 46, 89, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 45 x 46 x 89 x 311 = 16959476880
Therefore, the lowest common multiple of 148,360,368,178,311 is 16959476880.
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.
148 x 360 x 368 x 178 x 311 = 1085406520320
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.
148 : 1, 2, 4, 37, 74, 148
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
178 : 1, 2, 89, 178
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,360,368,178,311, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
360:2x 2x 2x 3x 3x 5
368:2x 2x 2x 2x 23
178:2x 89
311:311
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 2 = 64
Therefore, the value for common factors is 64.
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 = 1085406520320/(1x64)
LCM = 1085406520320/64
LCM = 16959476880
Thus, we can understand that the LCM of 148,360,368,178,311 is 16959476880.
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FAQs on LCM of 148, 360, 368, 178, 311
1. What is the LCM of 148, 360, 368, 178, 311?
Answer: LCM of 148, 360, 368, 178, 311 is 16959476880.
2. How to calculate the LCM of 148, 360, 368, 178, 311?
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 148, 360, 368, 178, 311.
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}.