LCM of 543, 156, 442, 390, 178
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 156, 442, 390, 178 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 543, 156, 442, 390, 178. So, keep reading to learn more.
Given numbers are 543,156,442,390,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,156,442,390,178 is 213605340.
Find LCM of 543,156,442,390,178 with Prime Factorization
| 2 | 543, 156, 442, 390, 178 |
| 3 | 543, 78, 221, 195, 89 |
| 13 | 181, 26, 221, 65, 89 |
| 181, 2, 17, 5, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 181 x 2 x 17 x 5 x 89 = 213605340
Therefore, the lowest common multiple of 543,156,442,390,178 is 213605340.
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.
543 x 156 x 442 x 390 x 178 = 2599149777120
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.
543 : 1, 3, 181, 543
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
442 : 1, 2, 13, 17, 26, 34, 221, 442
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,156,442,390,178, is 1.
Now, the common factors can be found like this.
543:3x 181
156:2x 2x 3x 13
442:2x 13x 17
390:2x 3x 5x 13
178:2x 89
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 3x 3x 13x 13 = 12168
Therefore, the value for common factors is 12168.
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 = 2599149777120/(1x12168)
LCM = 2599149777120/12168
LCM = 213605340
Thus, we can understand that the LCM of 543,156,442,390,178 is 213605340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 156, 442, 390, 178
1. What is the LCM of 543, 156, 442, 390, 178?
Answer: LCM of 543, 156, 442, 390, 178 is 213605340.
2. How to calculate the LCM of 543, 156, 442, 390, 178?
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 543, 156, 442, 390, 178.
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}.