LCM of 247, 108, 754, 285, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 108, 754, 285, 120 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 247, 108, 754, 285, 120. So, keep reading to learn more.
Given numbers are 247,108,754,285,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,108,754,285,120 is 7736040.
Find LCM of 247,108,754,285,120 with Prime Factorization
| 2 | 247, 108, 754, 285, 120 |
| 2 | 247, 54, 377, 285, 60 |
| 3 | 247, 27, 377, 285, 30 |
| 5 | 247, 9, 377, 95, 10 |
| 13 | 247, 9, 377, 19, 2 |
| 19 | 19, 9, 29, 19, 2 |
| 1, 9, 29, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 19 x 1 x 9 x 29 x 1 x 2 = 7736040
Therefore, the lowest common multiple of 247,108,754,285,120 is 7736040.
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.
247 x 108 x 754 x 285 x 120 = 687888676800
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.
247 : 1, 13, 19, 247
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
754 : 1, 2, 13, 26, 29, 58, 377, 754
285 : 1, 3, 5, 15, 19, 57, 95, 285
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,108,754,285,120, is 1.
Now, the common factors can be found like this.
247:13x 19
108:2x 2x 3x 3x 3
754:2x 13x 29
285:3x 5x 19
120:2x 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 3x 3x 5x 13x 19 = 88920
Therefore, the value for common factors is 88920.
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 = 687888676800/(1x88920)
LCM = 687888676800/88920
LCM = 7736040
Thus, we can understand that the LCM of 247,108,754,285,120 is 7736040.
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FAQs on LCM of 247, 108, 754, 285, 120
1. What is the LCM of 247, 108, 754, 285, 120?
Answer: LCM of 247, 108, 754, 285, 120 is 7736040.
2. How to calculate the LCM of 247, 108, 754, 285, 120?
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 247, 108, 754, 285, 120.
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}.