LCM of 538, 546, 814, 936, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 546, 814, 936, 847 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 538, 546, 814, 936, 847. So, keep reading to learn more.
Given numbers are 538,546,814,936,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,546,814,936,847 is 7890658776.
Find LCM of 538,546,814,936,847 with Prime Factorization
| 2 | 538, 546, 814, 936, 847 |
| 3 | 269, 273, 407, 468, 847 |
| 7 | 269, 91, 407, 156, 847 |
| 11 | 269, 13, 407, 156, 121 |
| 13 | 269, 13, 37, 156, 11 |
| 269, 1, 37, 12, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 269 x 1 x 37 x 12 x 11 = 7890658776
Therefore, the lowest common multiple of 538,546,814,936,847 is 7890658776.
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.
538 x 546 x 814 x 936 x 847 = 189565186434624
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.
538 : 1, 2, 269, 538
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
814 : 1, 2, 11, 22, 37, 74, 407, 814
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,546,814,936,847, is 1.
Now, the common factors can be found like this.
538:2x 269
546:2x 3x 7x 13
814:2x 11x 37
936:2x 2x 2x 3x 3x 13
847:7x 11x 11
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 7x 11x 13 = 24024
Therefore, the value for common factors is 24024.
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 = 189565186434624/(1x24024)
LCM = 189565186434624/24024
LCM = 7890658776
Thus, we can understand that the LCM of 538,546,814,936,847 is 7890658776.
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FAQs on LCM of 538, 546, 814, 936, 847
1. What is the LCM of 538, 546, 814, 936, 847?
Answer: LCM of 538, 546, 814, 936, 847 is 7890658776.
2. How to calculate the LCM of 538, 546, 814, 936, 847?
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 538, 546, 814, 936, 847.
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}.