LCM of 345, 546, 644, 221, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 546, 644, 221, 333 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 345, 546, 644, 221, 333. So, keep reading to learn more.
Given numbers are 345,546,644,221,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,546,644,221,333 is 236969460.
Find LCM of 345,546,644,221,333 with Prime Factorization
| 2 | 345, 546, 644, 221, 333 |
| 3 | 345, 273, 322, 221, 333 |
| 7 | 115, 91, 322, 221, 111 |
| 13 | 115, 13, 46, 221, 111 |
| 23 | 115, 1, 46, 17, 111 |
| 5, 1, 2, 17, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 23 x 5 x 1 x 2 x 17 x 111 = 236969460
Therefore, the lowest common multiple of 345,546,644,221,333 is 236969460.
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.
345 x 546 x 644 x 221 x 333 = 8927587436040
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
221 : 1, 13, 17, 221
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,546,644,221,333, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
546:2x 3x 7x 13
644:2x 2x 7x 23
221:13x 17
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 13x 23 = 37674
Therefore, the value for common factors is 37674.
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 = 8927587436040/(1x37674)
LCM = 8927587436040/37674
LCM = 236969460
Thus, we can understand that the LCM of 345,546,644,221,333 is 236969460.
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FAQs on LCM of 345, 546, 644, 221, 333
1. What is the LCM of 345, 546, 644, 221, 333?
Answer: LCM of 345, 546, 644, 221, 333 is 236969460.
2. How to calculate the LCM of 345, 546, 644, 221, 333?
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 345, 546, 644, 221, 333.
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}.