LCM of 611, 448, 336, 758, 873
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 448, 336, 758, 873 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 611, 448, 336, 758, 873. So, keep reading to learn more.
Given numbers are 611,448,336,758,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,448,336,758,873 is 90567562176.
Find LCM of 611,448,336,758,873 with Prime Factorization
| 2 | 611, 448, 336, 758, 873 |
| 2 | 611, 224, 168, 379, 873 |
| 2 | 611, 112, 84, 379, 873 |
| 2 | 611, 56, 42, 379, 873 |
| 3 | 611, 28, 21, 379, 873 |
| 7 | 611, 28, 7, 379, 291 |
| 611, 4, 1, 379, 291 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 611 x 4 x 1 x 379 x 291 = 90567562176
Therefore, the lowest common multiple of 611,448,336,758,873 is 90567562176.
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.
611 x 448 x 336 x 758 x 873 = 60861401782272
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.
611 : 1, 13, 47, 611
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
758 : 1, 2, 379, 758
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,448,336,758,873, is 1.
Now, the common factors can be found like this.
611:13x 47
448:2x 2x 2x 2x 2x 2x 7
336:2x 2x 2x 2x 3x 7
758:2x 379
873:3x 3x 97
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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 60861401782272/(1x672)
LCM = 60861401782272/672
LCM = 90567562176
Thus, we can understand that the LCM of 611,448,336,758,873 is 90567562176.
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FAQs on LCM of 611, 448, 336, 758, 873
1. What is the LCM of 611, 448, 336, 758, 873?
Answer: LCM of 611, 448, 336, 758, 873 is 90567562176.
2. How to calculate the LCM of 611, 448, 336, 758, 873?
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 611, 448, 336, 758, 873.
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}.