Find the LCM of 762, 849, 203, 103, 127 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 762, 849, 203, 103, 127. So, keep reading to learn more.
Given numbers are 762,849,203,103,127
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,849,203,103,127 is 4508942214.
Find LCM of 762,849,203,103,127 with Prime Factorization
3 | 762, 849, 203, 103, 127 |
127 | 254, 283, 203, 103, 127 |
2, 283, 203, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 127 x 2 x 283 x 203 x 103 x 1 = 4508942214
Therefore, the lowest common multiple of 762,849,203,103,127 is 4508942214.
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.
762 x 849 x 203 x 103 x 127 = 1717906983534
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
849 : 1, 3, 283, 849
203 : 1, 7, 29, 203
103 : 1, 103
127 : 1, 127
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,849,203,103,127, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
849:3x 283
203:7x 29
103:103
127:127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 127 = 381
Therefore, the value for common factors is 381.
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 = 1717906983534/(1x381)
LCM = 1717906983534/381
LCM = 4508942214
Thus, we can understand that the LCM of 762,849,203,103,127 is 4508942214.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 849, 203, 103, 127?
Answer: LCM of 762, 849, 203, 103, 127 is 4508942214.
2. How to calculate the LCM of 762, 849, 203, 103, 127?
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 762, 849, 203, 103, 127.
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}.