Find the LCM of 103, 721, 368, 538, 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 103, 721, 368, 538, 207. So, keep reading to learn more.
Given numbers are 103,721,368,538,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,721,368,538,207 is 642359088.
Find LCM of 103,721,368,538,207 with Prime Factorization
2 | 103, 721, 368, 538, 207 |
23 | 103, 721, 184, 269, 207 |
103 | 103, 721, 8, 269, 9 |
1, 7, 8, 269, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 103 x 1 x 7 x 8 x 269 x 9 = 642359088
Therefore, the lowest common multiple of 103,721,368,538,207 is 642359088.
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.
103 x 721 x 368 x 538 x 207 = 3043497358944
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.
103 : 1, 103
721 : 1, 7, 103, 721
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
538 : 1, 2, 269, 538
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 103,721,368,538,207, is 1.
Now, the common factors can be found like this.
103:103
721:7x 103
368:2x 2x 2x 2x 23
538:2x 269
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 23x 103 = 4738
Therefore, the value for common factors is 4738.
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 = 3043497358944/(1x4738)
LCM = 3043497358944/4738
LCM = 642359088
Thus, we can understand that the LCM of 103,721,368,538,207 is 642359088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 103, 721, 368, 538, 207?
Answer: LCM of 103, 721, 368, 538, 207 is 642359088.
2. How to calculate the LCM of 103, 721, 368, 538, 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 103, 721, 368, 538, 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}.