Find the LCM of 242, 188, 610, 441, 784 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 242, 188, 610, 441, 784. So, keep reading to learn more.
Given numbers are 242,188,610,441,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,188,610,441,784 is 12238878960.
Find LCM of 242,188,610,441,784 with Prime Factorization
2 | 242, 188, 610, 441, 784 |
2 | 121, 94, 305, 441, 392 |
7 | 121, 47, 305, 441, 196 |
7 | 121, 47, 305, 63, 28 |
121, 47, 305, 9, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 121 x 47 x 305 x 9 x 4 = 12238878960
Therefore, the lowest common multiple of 242,188,610,441,784 is 12238878960.
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.
242 x 188 x 610 x 441 x 784 = 9595281104640
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.
242 : 1, 2, 11, 22, 121, 242
188 : 1, 2, 4, 47, 94, 188
610 : 1, 2, 5, 10, 61, 122, 305, 610
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,188,610,441,784, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
188:2x 2x 47
610:2x 5x 61
441:3x 3x 7x 7
784:2x 2x 2x 2x 7x 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 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 9595281104640/(1x784)
LCM = 9595281104640/784
LCM = 12238878960
Thus, we can understand that the LCM of 242,188,610,441,784 is 12238878960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 242, 188, 610, 441, 784?
Answer: LCM of 242, 188, 610, 441, 784 is 12238878960.
2. How to calculate the LCM of 242, 188, 610, 441, 784?
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 242, 188, 610, 441, 784.
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}.