LCM of 280, 156, 446, 386, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 156, 446, 386, 536 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 280, 156, 446, 386, 536. So, keep reading to learn more.
Given numbers are 280,156,446,386,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,156,446,386,536 is 31489053960.
Find LCM of 280,156,446,386,536 with Prime Factorization
| 2 | 280, 156, 446, 386, 536 |
| 2 | 140, 78, 223, 193, 268 |
| 2 | 70, 39, 223, 193, 134 |
| 35, 39, 223, 193, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 35 x 39 x 223 x 193 x 67 = 31489053960
Therefore, the lowest common multiple of 280,156,446,386,536 is 31489053960.
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.
280 x 156 x 446 x 386 x 536 = 4030598906880
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
446 : 1, 2, 223, 446
386 : 1, 2, 193, 386
536 : 1, 2, 4, 8, 67, 134, 268, 536
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,156,446,386,536, is 2.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
156:2x 2x 3x 13
446:2x 223
386:2x 193
536:2x 2x 2x 67
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 = 4030598906880/(2x64)
LCM = 4030598906880/128
LCM = 31489053960
Thus, we can understand that the LCM of 280,156,446,386,536 is 31489053960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 280, 156, 446, 386, 536
1. What is the LCM of 280, 156, 446, 386, 536?
Answer: LCM of 280, 156, 446, 386, 536 is 31489053960.
2. How to calculate the LCM of 280, 156, 446, 386, 536?
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 280, 156, 446, 386, 536.
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}.