LCM of 855, 304, 672, 525, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 304, 672, 525, 851 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 855, 304, 672, 525, 851. So, keep reading to learn more.
Given numbers are 855,304,672,525,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,304,672,525,851 is 814917600.
Find LCM of 855,304,672,525,851 with Prime Factorization
| 2 | 855, 304, 672, 525, 851 |
| 2 | 855, 152, 336, 525, 851 |
| 2 | 855, 76, 168, 525, 851 |
| 2 | 855, 38, 84, 525, 851 |
| 3 | 855, 19, 42, 525, 851 |
| 5 | 285, 19, 14, 175, 851 |
| 7 | 57, 19, 14, 35, 851 |
| 19 | 57, 19, 2, 5, 851 |
| 3, 1, 2, 5, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 x 3 x 1 x 2 x 5 x 851 = 814917600
Therefore, the lowest common multiple of 855,304,672,525,851 is 814917600.
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.
855 x 304 x 672 x 525 x 851 = 78036509376000
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,304,672,525,851, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
304:2x 2x 2x 2x 19
672:2x 2x 2x 2x 2x 3x 7
525:3x 5x 5x 7
851:23x 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 2x 2x 2x 3x 3x 5x 7x 19 = 95760
Therefore, the value for common factors is 95760.
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 = 78036509376000/(1x95760)
LCM = 78036509376000/95760
LCM = 814917600
Thus, we can understand that the LCM of 855,304,672,525,851 is 814917600.
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FAQs on LCM of 855, 304, 672, 525, 851
1. What is the LCM of 855, 304, 672, 525, 851?
Answer: LCM of 855, 304, 672, 525, 851 is 814917600.
2. How to calculate the LCM of 855, 304, 672, 525, 851?
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 855, 304, 672, 525, 851.
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}.