Find the LCM of 615, 468, 923, 688, 144 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 615, 468, 923, 688, 144. So, keep reading to learn more.
Given numbers are 615,468,923,688,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,468,923,688,144 is 1171619280.
Find LCM of 615,468,923,688,144 with Prime Factorization
2 | 615, 468, 923, 688, 144 |
2 | 615, 234, 923, 344, 72 |
2 | 615, 117, 923, 172, 36 |
2 | 615, 117, 923, 86, 18 |
3 | 615, 117, 923, 43, 9 |
3 | 205, 39, 923, 43, 3 |
13 | 205, 13, 923, 43, 1 |
205, 1, 71, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 13 x 205 x 1 x 71 x 43 x 1 = 1171619280
Therefore, the lowest common multiple of 615,468,923,688,144 is 1171619280.
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.
615 x 468 x 923 x 688 x 144 = 26319255505920
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
923 : 1, 13, 71, 923
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,468,923,688,144, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
468:2x 2x 3x 3x 13
923:13x 71
688:2x 2x 2x 2x 43
144:2x 2x 2x 2x 3x 3
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 2x 2x 2x 3x 3x 3x 13 = 22464
Therefore, the value for common factors is 22464.
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 = 26319255505920/(1x22464)
LCM = 26319255505920/22464
LCM = 1171619280
Thus, we can understand that the LCM of 615,468,923,688,144 is 1171619280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 615, 468, 923, 688, 144?
Answer: LCM of 615, 468, 923, 688, 144 is 1171619280.
2. How to calculate the LCM of 615, 468, 923, 688, 144?
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 615, 468, 923, 688, 144.
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}.