LCM of 437, 842, 547, 522, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 842, 547, 522, 309 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 437, 842, 547, 522, 309. So, keep reading to learn more.
Given numbers are 437,842,547,522,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,842,547,522,309 is 5410763937954.
Find LCM of 437,842,547,522,309 with Prime Factorization
| 2 | 437, 842, 547, 522, 309 |
| 3 | 437, 421, 547, 261, 309 |
| 437, 421, 547, 87, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 437 x 421 x 547 x 87 x 103 = 5410763937954
Therefore, the lowest common multiple of 437,842,547,522,309 is 5410763937954.
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.
437 x 842 x 547 x 522 x 309 = 32464583627724
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.
437 : 1, 19, 23, 437
842 : 1, 2, 421, 842
547 : 1, 547
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,842,547,522,309, is 1.
Now, the common factors can be found like this.
437:19x 23
842:2x 421
547:547
522:2x 3x 3x 29
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 32464583627724/(1x6)
LCM = 32464583627724/6
LCM = 5410763937954
Thus, we can understand that the LCM of 437,842,547,522,309 is 5410763937954.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 842, 547, 522, 309
1. What is the LCM of 437, 842, 547, 522, 309?
Answer: LCM of 437, 842, 547, 522, 309 is 5410763937954.
2. How to calculate the LCM of 437, 842, 547, 522, 309?
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 437, 842, 547, 522, 309.
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}.