LCM of 244, 516, 427, 337, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 244, 516, 427, 337, 546 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 244, 516, 427, 337, 546. So, keep reading to learn more.
Given numbers are 244,516,427,337,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 244,516,427,337,546 is 965274492.
Find LCM of 244,516,427,337,546 with Prime Factorization
| 2 | 244, 516, 427, 337, 546 |
| 2 | 122, 258, 427, 337, 273 |
| 3 | 61, 129, 427, 337, 273 |
| 7 | 61, 43, 427, 337, 91 |
| 61 | 61, 43, 61, 337, 13 |
| 1, 43, 1, 337, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 61 x 1 x 43 x 1 x 337 x 13 = 965274492
Therefore, the lowest common multiple of 244,516,427,337,546 is 965274492.
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.
244 x 516 x 427 x 337 x 546 = 9892132994016
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.
244 : 1, 2, 4, 61, 122, 244
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
427 : 1, 7, 61, 427
337 : 1, 337
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,516,427,337,546, is 1.
Now, the common factors can be found like this.
244:2x 2x 61
516:2x 2x 3x 43
427:7x 61
337:337
546:2x 3x 7x 13
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 7x 61 = 10248
Therefore, the value for common factors is 10248.
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 = 9892132994016/(1x10248)
LCM = 9892132994016/10248
LCM = 965274492
Thus, we can understand that the LCM of 244,516,427,337,546 is 965274492.
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FAQs on LCM of 244, 516, 427, 337, 546
1. What is the LCM of 244, 516, 427, 337, 546?
Answer: LCM of 244, 516, 427, 337, 546 is 965274492.
2. How to calculate the LCM of 244, 516, 427, 337, 546?
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 244, 516, 427, 337, 546.
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}.