Find the LCM of 742, 318, 135, 382, 807 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 742, 318, 135, 382, 807. So, keep reading to learn more.
Given numbers are 742,318,135,382,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,318,135,382,807 is 5146634430.
Find LCM of 742,318,135,382,807 with Prime Factorization
2 | 742, 318, 135, 382, 807 |
3 | 371, 159, 135, 191, 807 |
53 | 371, 53, 45, 191, 269 |
7, 1, 45, 191, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 7 x 1 x 45 x 191 x 269 = 5146634430
Therefore, the lowest common multiple of 742,318,135,382,807 is 5146634430.
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.
742 x 318 x 135 x 382 x 807 = 9819778492440
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
318 : 1, 2, 3, 6, 53, 106, 159, 318
135 : 1, 3, 5, 9, 15, 27, 45, 135
382 : 1, 2, 191, 382
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,318,135,382,807, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
318:2x 3x 53
135:3x 3x 3x 5
382:2x 191
807:3x 269
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 3x 53 = 1908
Therefore, the value for common factors is 1908.
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 = 9819778492440/(1x1908)
LCM = 9819778492440/1908
LCM = 5146634430
Thus, we can understand that the LCM of 742,318,135,382,807 is 5146634430.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 742, 318, 135, 382, 807?
Answer: LCM of 742, 318, 135, 382, 807 is 5146634430.
2. How to calculate the LCM of 742, 318, 135, 382, 807?
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 742, 318, 135, 382, 807.
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}.