LCM of 844, 276, 882, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 276, 882, 513 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 844, 276, 882, 513. So, keep reading to learn more.
Given numbers are 844,276,882,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,276,882,513 is 487959444.
Find LCM of 844,276,882,513 with Prime Factorization
| 2 | 844, 276, 882, 513 |
| 2 | 422, 138, 441, 513 |
| 3 | 211, 69, 441, 513 |
| 3 | 211, 23, 147, 171 |
| 211, 23, 49, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 211 x 23 x 49 x 57 = 487959444
Therefore, the lowest common multiple of 844,276,882,513 is 487959444.
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.
844 x 276 x 882 x 513 = 105399239904
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.
844 : 1, 2, 4, 211, 422, 844
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,276,882,513, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
276:2x 2x 3x 23
882:2x 3x 3x 7x 7
513:3x 3x 3x 19
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 105399239904/(1x216)
LCM = 105399239904/216
LCM = 487959444
Thus, we can understand that the LCM of 844,276,882,513 is 487959444.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 276, 882, 513
1. What is the LCM of 844, 276, 882, 513?
Answer: LCM of 844, 276, 882, 513 is 487959444.
2. How to calculate the LCM of 844, 276, 882, 513?
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 844, 276, 882, 513.
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}.