LCM of 104, 225, 992, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 225, 992, 312 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 104, 225, 992, 312. So, keep reading to learn more.
Given numbers are 104,225,992,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,225,992,312 is 2901600.
Find LCM of 104,225,992,312 with Prime Factorization
| 2 | 104, 225, 992, 312 |
| 2 | 52, 225, 496, 156 |
| 2 | 26, 225, 248, 78 |
| 3 | 13, 225, 124, 39 |
| 13 | 13, 75, 124, 13 |
| 1, 75, 124, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 1 x 75 x 124 x 1 = 2901600
Therefore, the lowest common multiple of 104,225,992,312 is 2901600.
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.
104 x 225 x 992 x 312 = 7242393600
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,225,992,312, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
225:3x 3x 5x 5
992:2x 2x 2x 2x 2x 31
312:2x 2x 2x 3x 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 2x 2x 2x 2x 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 7242393600/(1x2496)
LCM = 7242393600/2496
LCM = 2901600
Thus, we can understand that the LCM of 104,225,992,312 is 2901600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 104, 225, 992, 312
1. What is the LCM of 104, 225, 992, 312?
Answer: LCM of 104, 225, 992, 312 is 2901600.
2. How to calculate the LCM of 104, 225, 992, 312?
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 104, 225, 992, 312.
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}.