Find the LCM of 748, 194, 776, 207 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 748, 194, 776, 207. So, keep reading to learn more.
Given numbers are 748,194,776,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,194,776,207 is 30038184.
Find LCM of 748,194,776,207 with Prime Factorization
2 | 748, 194, 776, 207 |
2 | 374, 97, 388, 207 |
97 | 187, 97, 194, 207 |
187, 1, 2, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 97 x 187 x 1 x 2 x 207 = 30038184
Therefore, the lowest common multiple of 748,194,776,207 is 30038184.
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.
748 x 194 x 776 x 207 = 23309630784
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
194 : 1, 2, 97, 194
776 : 1, 2, 4, 8, 97, 194, 388, 776
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,194,776,207, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
194:2x 97
776:2x 2x 2x 97
207:3x 3x 23
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 97 = 776
Therefore, the value for common factors is 776.
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 = 23309630784/(1x776)
LCM = 23309630784/776
LCM = 30038184
Thus, we can understand that the LCM of 748,194,776,207 is 30038184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 194, 776, 207?
Answer: LCM of 748, 194, 776, 207 is 30038184.
2. How to calculate the LCM of 748, 194, 776, 207?
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 748, 194, 776, 207.
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}.