LCM of 847, 818, 288, 378, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 818, 288, 378, 143 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 847, 818, 288, 378, 143. So, keep reading to learn more.
Given numbers are 847,818,288,378,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,818,288,378,143 is 3891023136.
Find LCM of 847,818,288,378,143 with Prime Factorization
| 2 | 847, 818, 288, 378, 143 |
| 3 | 847, 409, 144, 189, 143 |
| 3 | 847, 409, 48, 63, 143 |
| 7 | 847, 409, 16, 21, 143 |
| 11 | 121, 409, 16, 3, 143 |
| 11, 409, 16, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 11 x 409 x 16 x 3 x 13 = 3891023136
Therefore, the lowest common multiple of 847,818,288,378,143 is 3891023136.
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.
847 x 818 x 288 x 378 x 143 = 10785916132992
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.
847 : 1, 7, 11, 77, 121, 847
818 : 1, 2, 409, 818
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,818,288,378,143, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
818:2x 409
288:2x 2x 2x 2x 2x 3x 3
378:2x 3x 3x 3x 7
143:11x 13
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 7x 11 = 2772
Therefore, the value for common factors is 2772.
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 = 10785916132992/(1x2772)
LCM = 10785916132992/2772
LCM = 3891023136
Thus, we can understand that the LCM of 847,818,288,378,143 is 3891023136.
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FAQs on LCM of 847, 818, 288, 378, 143
1. What is the LCM of 847, 818, 288, 378, 143?
Answer: LCM of 847, 818, 288, 378, 143 is 3891023136.
2. How to calculate the LCM of 847, 818, 288, 378, 143?
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 847, 818, 288, 378, 143.
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}.