LCM of 546, 194, 462, 405, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 194, 462, 405, 283 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 546, 194, 462, 405, 283. So, keep reading to learn more.
Given numbers are 546,194,462,405,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,194,462,405,283 is 22257545310.
Find LCM of 546,194,462,405,283 with Prime Factorization
| 2 | 546, 194, 462, 405, 283 |
| 3 | 273, 97, 231, 405, 283 |
| 7 | 91, 97, 77, 135, 283 |
| 13, 97, 11, 135, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 97 x 11 x 135 x 283 = 22257545310
Therefore, the lowest common multiple of 546,194,462,405,283 is 22257545310.
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.
546 x 194 x 462 x 405 x 283 = 5608901418120
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
194 : 1, 2, 97, 194
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,194,462,405,283, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
194:2x 97
462:2x 3x 7x 11
405:3x 3x 3x 3x 5
283:283
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 5608901418120/(1x252)
LCM = 5608901418120/252
LCM = 22257545310
Thus, we can understand that the LCM of 546,194,462,405,283 is 22257545310.
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FAQs on LCM of 546, 194, 462, 405, 283
1. What is the LCM of 546, 194, 462, 405, 283?
Answer: LCM of 546, 194, 462, 405, 283 is 22257545310.
2. How to calculate the LCM of 546, 194, 462, 405, 283?
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 546, 194, 462, 405, 283.
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}.