LCM of 287, 150, 246, 451, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 150, 246, 451, 365 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 287, 150, 246, 451, 365. So, keep reading to learn more.
Given numbers are 287,150,246,451,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,150,246,451,365 is 34569150.
Find LCM of 287,150,246,451,365 with Prime Factorization
| 2 | 287, 150, 246, 451, 365 |
| 3 | 287, 75, 123, 451, 365 |
| 5 | 287, 25, 41, 451, 365 |
| 41 | 287, 5, 41, 451, 73 |
| 7, 5, 1, 11, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 41 x 7 x 5 x 1 x 11 x 73 = 34569150
Therefore, the lowest common multiple of 287,150,246,451,365 is 34569150.
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.
287 x 150 x 246 x 451 x 365 = 1743322234500
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.
287 : 1, 7, 41, 287
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
246 : 1, 2, 3, 6, 41, 82, 123, 246
451 : 1, 11, 41, 451
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,150,246,451,365, is 1.
Now, the common factors can be found like this.
287:7x 41
150:2x 3x 5x 5
246:2x 3x 41
451:11x 41
365:5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 41x 41 = 50430
Therefore, the value for common factors is 50430.
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 = 1743322234500/(1x50430)
LCM = 1743322234500/50430
LCM = 34569150
Thus, we can understand that the LCM of 287,150,246,451,365 is 34569150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 287, 150, 246, 451, 365
1. What is the LCM of 287, 150, 246, 451, 365?
Answer: LCM of 287, 150, 246, 451, 365 is 34569150.
2. How to calculate the LCM of 287, 150, 246, 451, 365?
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 287, 150, 246, 451, 365.
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}.