LCM of 337, 820, 322, 460, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 820, 322, 460, 861 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 337, 820, 322, 460, 861. So, keep reading to learn more.
Given numbers are 337,820,322,460,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,820,322,460,861 is 133472220.
Find LCM of 337,820,322,460,861 with Prime Factorization
| 2 | 337, 820, 322, 460, 861 |
| 2 | 337, 410, 161, 230, 861 |
| 5 | 337, 205, 161, 115, 861 |
| 7 | 337, 41, 161, 23, 861 |
| 23 | 337, 41, 23, 23, 123 |
| 41 | 337, 41, 1, 1, 123 |
| 337, 1, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 23 x 41 x 337 x 1 x 1 x 1 x 3 = 133472220
Therefore, the lowest common multiple of 337,820,322,460,861 is 133472220.
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.
337 x 820 x 322 x 460 x 861 = 35242004968800
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.
337 : 1, 337
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
322 : 1, 2, 7, 14, 23, 46, 161, 322
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,820,322,460,861, is 1.
Now, the common factors can be found like this.
337:337
820:2x 2x 5x 41
322:2x 7x 23
460:2x 2x 5x 23
861:3x 7x 41
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 5x 7x 23x 41 = 264040
Therefore, the value for common factors is 264040.
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 = 35242004968800/(1x264040)
LCM = 35242004968800/264040
LCM = 133472220
Thus, we can understand that the LCM of 337,820,322,460,861 is 133472220.
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FAQs on LCM of 337, 820, 322, 460, 861
1. What is the LCM of 337, 820, 322, 460, 861?
Answer: LCM of 337, 820, 322, 460, 861 is 133472220.
2. How to calculate the LCM of 337, 820, 322, 460, 861?
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 337, 820, 322, 460, 861.
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}.