LCM of 287, 945, 393, 836, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 945, 393, 836, 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 287, 945, 393, 836, 882. So, keep reading to learn more.
Given numbers are 287,945,393,836,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,945,393,836,882 is 29702381940.
Find LCM of 287,945,393,836,882 with Prime Factorization
| 2 | 287, 945, 393, 836, 882 |
| 3 | 287, 945, 393, 418, 441 |
| 3 | 287, 315, 131, 418, 147 |
| 7 | 287, 105, 131, 418, 49 |
| 41, 15, 131, 418, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 41 x 15 x 131 x 418 x 7 = 29702381940
Therefore, the lowest common multiple of 287,945,393,836,882 is 29702381940.
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.
287 x 945 x 393 x 836 x 882 = 78592502613240
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.
287 : 1, 7, 41, 287
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
393 : 1, 3, 131, 393
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
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 287,945,393,836,882, is 1.
Now, the common factors can be found like this.
287:7x 41
945:3x 3x 3x 5x 7
393:3x 131
836:2x 2x 11x 19
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 3x 3x 3x 7x 7 = 2646
Therefore, the value for common factors is 2646.
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 = 78592502613240/(1x2646)
LCM = 78592502613240/2646
LCM = 29702381940
Thus, we can understand that the LCM of 287,945,393,836,882 is 29702381940.
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FAQs on LCM of 287, 945, 393, 836, 882
1. What is the LCM of 287, 945, 393, 836, 882?
Answer: LCM of 287, 945, 393, 836, 882 is 29702381940.
2. How to calculate the LCM of 287, 945, 393, 836, 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 287, 945, 393, 836, 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}.