LCM of 8072, 3400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8072, 3400 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 8072, 3400. So, keep reading to learn more.
Given numbers are 8072,3400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8072,3400 is 3430600.
Find LCM of 8072,3400 with Prime Factorization
| 2 | 8072, 3400 |
| 2 | 4036, 1700 |
| 2 | 2018, 850 |
| 1009, 425 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 1009 x 425 = 3430600
Therefore, the lowest common multiple of 8072,3400 is 3430600.
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.
8072 x 3400 = 27444800
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.
8072 : 1, 2, 4, 8, 1009, 2018, 4036, 8072
3400 : 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8072,3400, is 8.
Now, the common factors can be found like this.
8072:2x 2x 2x 1009
3400:2x 2x 2x 5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 27444800/(8x1)
LCM = 27444800/8
LCM = 3430600
Thus, we can understand that the LCM of 8072,3400 is 3430600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 8072, 3400
1. What is the LCM of 8072, 3400?
Answer: LCM of 8072, 3400 is 3430600.
2. How to calculate the LCM of 8072, 3400?
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 8072, 3400.
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}.