LCM of 558, 452, 748, 280, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 452, 748, 280, 345 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 558, 452, 748, 280, 345. So, keep reading to learn more.
Given numbers are 558,452,748,280,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,452,748,280,345 is 37967335560.
Find LCM of 558,452,748,280,345 with Prime Factorization
| 2 | 558, 452, 748, 280, 345 |
| 2 | 279, 226, 374, 140, 345 |
| 3 | 279, 113, 187, 70, 345 |
| 5 | 93, 113, 187, 70, 115 |
| 93, 113, 187, 14, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 93 x 113 x 187 x 14 x 23 = 37967335560
Therefore, the lowest common multiple of 558,452,748,280,345 is 37967335560.
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.
558 x 452 x 748 x 280 x 345 = 18224321068800
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
452 : 1, 2, 4, 113, 226, 452
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,452,748,280,345, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
452:2x 2x 113
748:2x 2x 11x 17
280:2x 2x 2x 5x 7
345:3x 5x 23
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 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 18224321068800/(1x480)
LCM = 18224321068800/480
LCM = 37967335560
Thus, we can understand that the LCM of 558,452,748,280,345 is 37967335560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 558, 452, 748, 280, 345
1. What is the LCM of 558, 452, 748, 280, 345?
Answer: LCM of 558, 452, 748, 280, 345 is 37967335560.
2. How to calculate the LCM of 558, 452, 748, 280, 345?
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 558, 452, 748, 280, 345.
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}.