LCM of 713, 828, 330, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 713, 828, 330, 882 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 713, 828, 330, 882. So, keep reading to learn more.
Given numbers are 713,828,330,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,828,330,882 is 69175260.
Find LCM of 713,828,330,882 with Prime Factorization
| 2 | 713, 828, 330, 882 |
| 3 | 713, 414, 165, 441 |
| 3 | 713, 138, 55, 147 |
| 23 | 713, 46, 55, 49 |
| 31, 2, 55, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 31 x 2 x 55 x 49 = 69175260
Therefore, the lowest common multiple of 713,828,330,882 is 69175260.
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.
713 x 828 x 330 x 882 = 171831345840
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.
713 : 1, 23, 31, 713
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,828,330,882, is 1.
Now, the common factors can be found like this.
713:23x 31
828:2x 2x 3x 3x 23
330:2x 3x 5x 11
882:2x 3x 3x 7x 7
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 3x 23 = 2484
Therefore, the value for common factors is 2484.
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 = 171831345840/(1x2484)
LCM = 171831345840/2484
LCM = 69175260
Thus, we can understand that the LCM of 713,828,330,882 is 69175260.
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FAQs on LCM of 713, 828, 330, 882
1. What is the LCM of 713, 828, 330, 882?
Answer: LCM of 713, 828, 330, 882 is 69175260.
2. How to calculate the LCM of 713, 828, 330, 882?
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 713, 828, 330, 882.
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}.