LCM of 111, 947, 407, 363, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 947, 407, 363, 444 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 111, 947, 407, 363, 444. So, keep reading to learn more.
Given numbers are 111,947,407,363,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,947,407,363,444 is 50876628.
Find LCM of 111,947,407,363,444 with Prime Factorization
| 3 | 111, 947, 407, 363, 444 |
| 11 | 37, 947, 407, 121, 148 |
| 37 | 37, 947, 37, 11, 148 |
| 1, 947, 1, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 37 x 1 x 947 x 1 x 11 x 4 = 50876628
Therefore, the lowest common multiple of 111,947,407,363,444 is 50876628.
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.
111 x 947 x 407 x 363 x 444 = 6895360269468
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.
111 : 1, 3, 37, 111
947 : 1, 947
407 : 1, 11, 37, 407
363 : 1, 3, 11, 33, 121, 363
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,947,407,363,444, is 1.
Now, the common factors can be found like this.
111:3x 37
947:947
407:11x 37
363:3x 11x 11
444:2x 2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 37x 37 = 135531
Therefore, the value for common factors is 135531.
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 = 6895360269468/(1x135531)
LCM = 6895360269468/135531
LCM = 50876628
Thus, we can understand that the LCM of 111,947,407,363,444 is 50876628.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 111, 947, 407, 363, 444
1. What is the LCM of 111, 947, 407, 363, 444?
Answer: LCM of 111, 947, 407, 363, 444 is 50876628.
2. How to calculate the LCM of 111, 947, 407, 363, 444?
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 111, 947, 407, 363, 444.
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}.