LCM of 3, 114, 240, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3, 114, 240, 912 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 3, 114, 240, 912. So, keep reading to learn more.
Given numbers are 3,114,240,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3,114,240,912 is 4560.
Find LCM of 3,114,240,912 with Prime Factorization
| 2 | 3, 114, 240, 912 |
| 2 | 3, 57, 120, 456 |
| 2 | 3, 57, 60, 228 |
| 2 | 3, 57, 30, 114 |
| 3 | 3, 57, 15, 57 |
| 19 | 1, 19, 5, 19 |
| 1, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 1 x 1 x 5 x 1 = 4560
Therefore, the lowest common multiple of 3,114,240,912 is 4560.
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.
3 x 114 x 240 x 912 = 74856960
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.
3 : 1, 3
114 : 1, 2, 3, 6, 19, 38, 57, 114
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3,114,240,912, is 3.
Now, the common factors can be found like this.
3:3
114:2x 3x 19
240:2x 2x 2x 2x 3x 5
912:2x 2x 2x 2x 3x 19
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 3x 3x 19 = 5472
Therefore, the value for common factors is 5472.
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 = 74856960/(3x5472)
LCM = 74856960/16416
LCM = 4560
Thus, we can understand that the LCM of 3,114,240,912 is 4560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 3, 114, 240, 912
1. What is the LCM of 3, 114, 240, 912?
Answer: LCM of 3, 114, 240, 912 is 4560.
2. How to calculate the LCM of 3, 114, 240, 912?
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 3, 114, 240, 912.
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}.