LCM of 810, 344, 764, 294, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 344, 764, 294, 753 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 810, 344, 764, 294, 753. So, keep reading to learn more.
Given numbers are 810,344,764,294,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,344,764,294,753 is 327277865880.
Find LCM of 810,344,764,294,753 with Prime Factorization
| 2 | 810, 344, 764, 294, 753 |
| 2 | 405, 172, 382, 147, 753 |
| 3 | 405, 86, 191, 147, 753 |
| 135, 86, 191, 49, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 135 x 86 x 191 x 49 x 251 = 327277865880
Therefore, the lowest common multiple of 810,344,764,294,753 is 327277865880.
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.
810 x 344 x 764 x 294 x 753 = 47128012686720
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
344 : 1, 2, 4, 8, 43, 86, 172, 344
764 : 1, 2, 4, 191, 382, 764
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,344,764,294,753, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
344:2x 2x 2x 43
764:2x 2x 191
294:2x 3x 7x 7
753:3x 251
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 3 = 144
Therefore, the value for common factors is 144.
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 = 47128012686720/(1x144)
LCM = 47128012686720/144
LCM = 327277865880
Thus, we can understand that the LCM of 810,344,764,294,753 is 327277865880.
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FAQs on LCM of 810, 344, 764, 294, 753
1. What is the LCM of 810, 344, 764, 294, 753?
Answer: LCM of 810, 344, 764, 294, 753 is 327277865880.
2. How to calculate the LCM of 810, 344, 764, 294, 753?
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 810, 344, 764, 294, 753.
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}.