Find the LCM of 272, 123, 203, 615, 899 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 272, 123, 203, 615, 899. So, keep reading to learn more.
Given numbers are 272,123,203,615,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,123,203,615,899 is 1052693040.
Find LCM of 272,123,203,615,899 with Prime Factorization
3 | 272, 123, 203, 615, 899 |
29 | 272, 41, 203, 205, 899 |
41 | 272, 41, 7, 205, 31 |
272, 1, 7, 5, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 41 x 272 x 1 x 7 x 5 x 31 = 1052693040
Therefore, the lowest common multiple of 272,123,203,615,899 is 1052693040.
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.
272 x 123 x 203 x 615 x 899 = 3754956073680
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
123 : 1, 3, 41, 123
203 : 1, 7, 29, 203
615 : 1, 3, 5, 15, 41, 123, 205, 615
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,123,203,615,899, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
123:3x 41
203:7x 29
615:3x 5x 41
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 29x 41 = 3567
Therefore, the value for common factors is 3567.
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 = 3754956073680/(1x3567)
LCM = 3754956073680/3567
LCM = 1052693040
Thus, we can understand that the LCM of 272,123,203,615,899 is 1052693040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 272, 123, 203, 615, 899?
Answer: LCM of 272, 123, 203, 615, 899 is 1052693040.
2. How to calculate the LCM of 272, 123, 203, 615, 899?
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 272, 123, 203, 615, 899.
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}.