LCM of 927, 108, 705, 800, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 108, 705, 800, 240 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 927, 108, 705, 800, 240. So, keep reading to learn more.
Given numbers are 927,108,705,800,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,108,705,800,240 is 104565600.
Find LCM of 927,108,705,800,240 with Prime Factorization
| 2 | 927, 108, 705, 800, 240 |
| 2 | 927, 54, 705, 400, 120 |
| 2 | 927, 27, 705, 200, 60 |
| 2 | 927, 27, 705, 100, 30 |
| 3 | 927, 27, 705, 50, 15 |
| 3 | 309, 9, 235, 50, 5 |
| 5 | 103, 3, 235, 50, 5 |
| 103, 3, 47, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 103 x 3 x 47 x 10 x 1 = 104565600
Therefore, the lowest common multiple of 927,108,705,800,240 is 104565600.
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.
927 x 108 x 705 x 800 x 240 = 13551701760000
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.
927 : 1, 3, 9, 103, 309, 927
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
705 : 1, 3, 5, 15, 47, 141, 235, 705
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,108,705,800,240, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
108:2x 2x 3x 3x 3
705:3x 5x 47
800:2x 2x 2x 2x 2x 5x 5
240:2x 2x 2x 2x 3x 5
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 2x 2x 2x 3x 3x 3x 3x 5x 5 = 129600
Therefore, the value for common factors is 129600.
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 = 13551701760000/(1x129600)
LCM = 13551701760000/129600
LCM = 104565600
Thus, we can understand that the LCM of 927,108,705,800,240 is 104565600.
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FAQs on LCM of 927, 108, 705, 800, 240
1. What is the LCM of 927, 108, 705, 800, 240?
Answer: LCM of 927, 108, 705, 800, 240 is 104565600.
2. How to calculate the LCM of 927, 108, 705, 800, 240?
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 927, 108, 705, 800, 240.
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}.