LCM of 442, 144, 208, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 144, 208, 743 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 442, 144, 208, 743. So, keep reading to learn more.
Given numbers are 442,144,208,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,144,208,743 is 23645232.
Find LCM of 442,144,208,743 with Prime Factorization
| 2 | 442, 144, 208, 743 |
| 2 | 221, 72, 104, 743 |
| 2 | 221, 36, 52, 743 |
| 2 | 221, 18, 26, 743 |
| 13 | 221, 9, 13, 743 |
| 17, 9, 1, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 17 x 9 x 1 x 743 = 23645232
Therefore, the lowest common multiple of 442,144,208,743 is 23645232.
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.
442 x 144 x 208 x 743 = 9836416512
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,144,208,743, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
144:2x 2x 2x 2x 3x 3
208:2x 2x 2x 2x 13
743:743
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 13 = 416
Therefore, the value for common factors is 416.
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 = 9836416512/(1x416)
LCM = 9836416512/416
LCM = 23645232
Thus, we can understand that the LCM of 442,144,208,743 is 23645232.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 442, 144, 208, 743
1. What is the LCM of 442, 144, 208, 743?
Answer: LCM of 442, 144, 208, 743 is 23645232.
2. How to calculate the LCM of 442, 144, 208, 743?
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 442, 144, 208, 743.
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}.