Find the LCM of 151, 378, 502, 784, 224 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, 378, 502, 784, 224. So, keep reading to learn more.
Given numbers are 151,378,502,784,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,378,502,784,224 is 1604576736.
Find LCM of 151,378,502,784,224 with Prime Factorization
2 | 151, 378, 502, 784, 224 |
2 | 151, 189, 251, 392, 112 |
2 | 151, 189, 251, 196, 56 |
2 | 151, 189, 251, 98, 28 |
7 | 151, 189, 251, 49, 14 |
151, 27, 251, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 151 x 27 x 251 x 7 x 2 = 1604576736
Therefore, the lowest common multiple of 151,378,502,784,224 is 1604576736.
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 378 x 502 x 784 x 224 = 5031952644096
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
502 : 1, 2, 251, 502
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,378,502,784,224, is 1.
Now, the common factors can be found like this.
151:151
378:2x 3x 3x 3x 7
502:2x 251
784:2x 2x 2x 2x 7x 7
224:2x 2x 2x 2x 2x 7
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 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 5031952644096/(1x3136)
LCM = 5031952644096/3136
LCM = 1604576736
Thus, we can understand that the LCM of 151,378,502,784,224 is 1604576736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 151, 378, 502, 784, 224?
Answer: LCM of 151, 378, 502, 784, 224 is 1604576736.
2. How to calculate the LCM of 151, 378, 502, 784, 224?
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, 378, 502, 784, 224.
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}.