Find the LCM of 803, 604, 234, 302, 201 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 803, 604, 234, 302, 201. So, keep reading to learn more.
Given numbers are 803,604,234,302,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,604,234,302,201 is 3802009068.
Find LCM of 803,604,234,302,201 with Prime Factorization
2 | 803, 604, 234, 302, 201 |
3 | 803, 302, 117, 151, 201 |
151 | 803, 302, 39, 151, 67 |
803, 2, 39, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 803 x 2 x 39 x 1 x 67 = 3802009068
Therefore, the lowest common multiple of 803,604,234,302,201 is 3802009068.
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.
803 x 604 x 234 x 302 x 201 = 6889240431216
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.
803 : 1, 11, 73, 803
604 : 1, 2, 4, 151, 302, 604
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
302 : 1, 2, 151, 302
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,604,234,302,201, is 1.
Now, the common factors can be found like this.
803:11x 73
604:2x 2x 151
234:2x 3x 3x 13
302:2x 151
201:3x 67
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 3x 151 = 1812
Therefore, the value for common factors is 1812.
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 = 6889240431216/(1x1812)
LCM = 6889240431216/1812
LCM = 3802009068
Thus, we can understand that the LCM of 803,604,234,302,201 is 3802009068.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 803, 604, 234, 302, 201?
Answer: LCM of 803, 604, 234, 302, 201 is 3802009068.
2. How to calculate the LCM of 803, 604, 234, 302, 201?
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 803, 604, 234, 302, 201.
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}.