LCM of 709, 869, 309, 240, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 869, 309, 240, 412 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 709, 869, 309, 240, 412. So, keep reading to learn more.
Given numbers are 709,869,309,240,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,869,309,240,412 is 15230511120.
Find LCM of 709,869,309,240,412 with Prime Factorization
| 2 | 709, 869, 309, 240, 412 |
| 2 | 709, 869, 309, 120, 206 |
| 3 | 709, 869, 309, 60, 103 |
| 103 | 709, 869, 103, 20, 103 |
| 709, 869, 1, 20, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 709 x 869 x 1 x 20 x 1 = 15230511120
Therefore, the lowest common multiple of 709,869,309,240,412 is 15230511120.
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.
709 x 869 x 309 x 240 x 412 = 18824911744320
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.
709 : 1, 709
869 : 1, 11, 79, 869
309 : 1, 3, 103, 309
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,869,309,240,412, is 1.
Now, the common factors can be found like this.
709:709
869:11x 79
309:3x 103
240:2x 2x 2x 2x 3x 5
412:2x 2x 103
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 3x 103 = 1236
Therefore, the value for common factors is 1236.
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 = 18824911744320/(1x1236)
LCM = 18824911744320/1236
LCM = 15230511120
Thus, we can understand that the LCM of 709,869,309,240,412 is 15230511120.
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FAQs on LCM of 709, 869, 309, 240, 412
1. What is the LCM of 709, 869, 309, 240, 412?
Answer: LCM of 709, 869, 309, 240, 412 is 15230511120.
2. How to calculate the LCM of 709, 869, 309, 240, 412?
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 709, 869, 309, 240, 412.
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}.