LCM of 305, 783, 355, 252, 244
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 783, 355, 252, 244 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 305, 783, 355, 252, 244. So, keep reading to learn more.
Given numbers are 305,783,355,252,244
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,783,355,252,244 is 474764220.
Find LCM of 305,783,355,252,244 with Prime Factorization
| 2 | 305, 783, 355, 252, 244 |
| 2 | 305, 783, 355, 126, 122 |
| 3 | 305, 783, 355, 63, 61 |
| 3 | 305, 261, 355, 21, 61 |
| 5 | 305, 87, 355, 7, 61 |
| 61 | 61, 87, 71, 7, 61 |
| 1, 87, 71, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 61 x 1 x 87 x 71 x 7 x 1 = 474764220
Therefore, the lowest common multiple of 305,783,355,252,244 is 474764220.
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.
305 x 783 x 355 x 252 x 244 = 5212911135600
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.
305 : 1, 5, 61, 305
783 : 1, 3, 9, 27, 29, 87, 261, 783
355 : 1, 5, 71, 355
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
244 : 1, 2, 4, 61, 122, 244
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,783,355,252,244, is 1.
Now, the common factors can be found like this.
305:5x 61
783:3x 3x 3x 29
355:5x 71
252:2x 2x 3x 3x 7
244:2x 2x 61
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 5x 61 = 10980
Therefore, the value for common factors is 10980.
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 = 5212911135600/(1x10980)
LCM = 5212911135600/10980
LCM = 474764220
Thus, we can understand that the LCM of 305,783,355,252,244 is 474764220.
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FAQs on LCM of 305, 783, 355, 252, 244
1. What is the LCM of 305, 783, 355, 252, 244?
Answer: LCM of 305, 783, 355, 252, 244 is 474764220.
2. How to calculate the LCM of 305, 783, 355, 252, 244?
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 305, 783, 355, 252, 244.
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}.