LCM of 143, 228, 364, 630, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 228, 364, 630, 522 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 143, 228, 364, 630, 522. So, keep reading to learn more.
Given numbers are 143,228,364,630,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,228,364,630,522 is 99279180.
Find LCM of 143,228,364,630,522 with Prime Factorization
| 2 | 143, 228, 364, 630, 522 |
| 2 | 143, 114, 182, 315, 261 |
| 3 | 143, 57, 91, 315, 261 |
| 3 | 143, 19, 91, 105, 87 |
| 7 | 143, 19, 91, 35, 29 |
| 13 | 143, 19, 13, 5, 29 |
| 11, 19, 1, 5, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 11 x 19 x 1 x 5 x 29 = 99279180
Therefore, the lowest common multiple of 143,228,364,630,522 is 99279180.
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.
143 x 228 x 364 x 630 x 522 = 3902863124160
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.
143 : 1, 11, 13, 143
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,228,364,630,522, is 1.
Now, the common factors can be found like this.
143:11x 13
228:2x 2x 3x 19
364:2x 2x 7x 13
630:2x 3x 3x 5x 7
522:2x 3x 3x 29
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 3x 3x 3x 7x 13 = 39312
Therefore, the value for common factors is 39312.
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 = 3902863124160/(1x39312)
LCM = 3902863124160/39312
LCM = 99279180
Thus, we can understand that the LCM of 143,228,364,630,522 is 99279180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 143, 228, 364, 630, 522
1. What is the LCM of 143, 228, 364, 630, 522?
Answer: LCM of 143, 228, 364, 630, 522 is 99279180.
2. How to calculate the LCM of 143, 228, 364, 630, 522?
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 143, 228, 364, 630, 522.
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}.