LCM of 578, 367, 609, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 367, 609, 442 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 578, 367, 609, 442. So, keep reading to learn more.
Given numbers are 578,367,609,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,367,609,442 is 1679401542.
Find LCM of 578,367,609,442 with Prime Factorization
| 2 | 578, 367, 609, 442 |
| 17 | 289, 367, 609, 221 |
| 17, 367, 609, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 367 x 609 x 13 = 1679401542
Therefore, the lowest common multiple of 578,367,609,442 is 1679401542.
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.
578 x 367 x 609 x 442 = 57099652428
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.
578 : 1, 2, 17, 34, 289, 578
367 : 1, 367
609 : 1, 3, 7, 21, 29, 87, 203, 609
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,367,609,442, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
367:367
609:3x 7x 29
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 57099652428/(1x34)
LCM = 57099652428/34
LCM = 1679401542
Thus, we can understand that the LCM of 578,367,609,442 is 1679401542.
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FAQs on LCM of 578, 367, 609, 442
1. What is the LCM of 578, 367, 609, 442?
Answer: LCM of 578, 367, 609, 442 is 1679401542.
2. How to calculate the LCM of 578, 367, 609, 442?
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 578, 367, 609, 442.
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}.