Find the LCM of 135, 764, 834, 148, 700 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 135, 764, 834, 148, 700. So, keep reading to learn more.
Given numbers are 135,764,834,148,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,764,834,148,700 is 18565715700.
Find LCM of 135,764,834,148,700 with Prime Factorization
2 | 135, 764, 834, 148, 700 |
2 | 135, 382, 417, 74, 350 |
3 | 135, 191, 417, 37, 175 |
5 | 45, 191, 139, 37, 175 |
9, 191, 139, 37, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 9 x 191 x 139 x 37 x 35 = 18565715700
Therefore, the lowest common multiple of 135,764,834,148,700 is 18565715700.
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.
135 x 764 x 834 x 148 x 700 = 8911543536000
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
764 : 1, 2, 4, 191, 382, 764
834 : 1, 2, 3, 6, 139, 278, 417, 834
148 : 1, 2, 4, 37, 74, 148
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,764,834,148,700, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
764:2x 2x 191
834:2x 3x 139
148:2x 2x 37
700:2x 2x 5x 5x 7
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 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 8911543536000/(1x480)
LCM = 8911543536000/480
LCM = 18565715700
Thus, we can understand that the LCM of 135,764,834,148,700 is 18565715700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 135, 764, 834, 148, 700?
Answer: LCM of 135, 764, 834, 148, 700 is 18565715700.
2. How to calculate the LCM of 135, 764, 834, 148, 700?
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 135, 764, 834, 148, 700.
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}.