Find the LCM of 100, 204, 240, 764, 696 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 100, 204, 240, 764, 696. So, keep reading to learn more.
Given numbers are 100,204,240,764,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,204,240,764,696 is 112995600.
Find LCM of 100,204,240,764,696 with Prime Factorization
2 | 100, 204, 240, 764, 696 |
2 | 50, 102, 120, 382, 348 |
2 | 25, 51, 60, 191, 174 |
3 | 25, 51, 30, 191, 87 |
5 | 25, 17, 10, 191, 29 |
5, 17, 2, 191, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 17 x 2 x 191 x 29 = 112995600
Therefore, the lowest common multiple of 100,204,240,764,696 is 112995600.
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.
100 x 204 x 240 x 764 x 696 = 2603418624000
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
764 : 1, 2, 4, 191, 382, 764
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,204,240,764,696, is 4.
Now, the common factors can be found like this.
100:2x 2x 5x 5
204:2x 2x 3x 17
240:2x 2x 2x 2x 3x 5
764:2x 2x 191
696:2x 2x 2x 3x 29
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 2x 3x 3x 5 = 5760
Therefore, the value for common factors is 5760.
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 = 2603418624000/(4x5760)
LCM = 2603418624000/23040
LCM = 112995600
Thus, we can understand that the LCM of 100,204,240,764,696 is 112995600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 100, 204, 240, 764, 696?
Answer: LCM of 100, 204, 240, 764, 696 is 112995600.
2. How to calculate the LCM of 100, 204, 240, 764, 696?
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 100, 204, 240, 764, 696.
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}.