Find the LCM of 642, 121, 847, 150 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 642, 121, 847, 150. So, keep reading to learn more.
Given numbers are 642,121,847,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,121,847,150 is 13594350.
Find LCM of 642,121,847,150 with Prime Factorization
2 | 642, 121, 847, 150 |
3 | 321, 121, 847, 75 |
11 | 107, 121, 847, 25 |
11 | 107, 11, 77, 25 |
107, 1, 7, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 107 x 1 x 7 x 25 = 13594350
Therefore, the lowest common multiple of 642,121,847,150 is 13594350.
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.
642 x 121 x 847 x 150 = 9869498100
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
121 : 1, 11, 121
847 : 1, 7, 11, 77, 121, 847
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,121,847,150, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
121:11x 11
847:7x 11x 11
150:2x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11 = 726
Therefore, the value for common factors is 726.
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 = 9869498100/(1x726)
LCM = 9869498100/726
LCM = 13594350
Thus, we can understand that the LCM of 642,121,847,150 is 13594350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 121, 847, 150?
Answer: LCM of 642, 121, 847, 150 is 13594350.
2. How to calculate the LCM of 642, 121, 847, 150?
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 642, 121, 847, 150.
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}.