LCM of 282, 276, 923, 804, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 276, 923, 804, 871 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 282, 276, 923, 804, 871. So, keep reading to learn more.
Given numbers are 282,276,923,804,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,276,923,804,871 is 802201452.
Find LCM of 282,276,923,804,871 with Prime Factorization
| 2 | 282, 276, 923, 804, 871 |
| 2 | 141, 138, 923, 402, 871 |
| 3 | 141, 69, 923, 201, 871 |
| 13 | 47, 23, 923, 67, 871 |
| 67 | 47, 23, 71, 67, 67 |
| 47, 23, 71, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 67 x 47 x 23 x 71 x 1 x 1 = 802201452
Therefore, the lowest common multiple of 282,276,923,804,871 is 802201452.
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.
282 x 276 x 923 x 804 x 871 = 50307657457824
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
923 : 1, 13, 71, 923
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,276,923,804,871, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
276:2x 2x 3x 23
923:13x 71
804:2x 2x 3x 67
871:13x 67
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 13x 67 = 62712
Therefore, the value for common factors is 62712.
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 = 50307657457824/(1x62712)
LCM = 50307657457824/62712
LCM = 802201452
Thus, we can understand that the LCM of 282,276,923,804,871 is 802201452.
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FAQs on LCM of 282, 276, 923, 804, 871
1. What is the LCM of 282, 276, 923, 804, 871?
Answer: LCM of 282, 276, 923, 804, 871 is 802201452.
2. How to calculate the LCM of 282, 276, 923, 804, 871?
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 282, 276, 923, 804, 871.
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}.