Find the LCM of 151, 686, 414, 400, 912 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 151, 686, 414, 400, 912. So, keep reading to learn more.
Given numbers are 151,686,414,400,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,686,414,400,912 is 81480747600.
Find LCM of 151,686,414,400,912 with Prime Factorization
2 | 151, 686, 414, 400, 912 |
2 | 151, 343, 207, 200, 456 |
2 | 151, 343, 207, 100, 228 |
2 | 151, 343, 207, 50, 114 |
3 | 151, 343, 207, 25, 57 |
151, 343, 69, 25, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 151 x 343 x 69 x 25 x 19 = 81480747600
Therefore, the lowest common multiple of 151,686,414,400,912 is 81480747600.
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.
151 x 686 x 414 x 400 x 912 = 15644303539200
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.
151 : 1, 151
686 : 1, 2, 7, 14, 49, 98, 343, 686
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,686,414,400,912, is 1.
Now, the common factors can be found like this.
151:151
686:2x 7x 7x 7
414:2x 3x 3x 23
400:2x 2x 2x 2x 5x 5
912:2x 2x 2x 2x 3x 19
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 3 = 192
Therefore, the value for common factors is 192.
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 = 15644303539200/(1x192)
LCM = 15644303539200/192
LCM = 81480747600
Thus, we can understand that the LCM of 151,686,414,400,912 is 81480747600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 151, 686, 414, 400, 912?
Answer: LCM of 151, 686, 414, 400, 912 is 81480747600.
2. How to calculate the LCM of 151, 686, 414, 400, 912?
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 151, 686, 414, 400, 912.
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}.