LCM of 120, 814, 715, 812, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 120, 814, 715, 812, 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 120, 814, 715, 812, 412. So, keep reading to learn more.
Given numbers are 120,814,715,812,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 120,814,715,812,412 is 13275542280.
Find LCM of 120,814,715,812,412 with Prime Factorization
| 2 | 120, 814, 715, 812, 412 |
| 2 | 60, 407, 715, 406, 206 |
| 5 | 30, 407, 715, 203, 103 |
| 11 | 6, 407, 143, 203, 103 |
| 6, 37, 13, 203, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 6 x 37 x 13 x 203 x 103 = 13275542280
Therefore, the lowest common multiple of 120,814,715,812,412 is 13275542280.
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.
120 x 814 x 715 x 812 x 412 = 23364954412800
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.
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
814 : 1, 2, 11, 22, 37, 74, 407, 814
715 : 1, 5, 11, 13, 55, 65, 143, 715
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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 120,814,715,812,412, is 1.
Now, the common factors can be found like this.
120:2x 2x 2x 3x 5
814:2x 11x 37
715:5x 11x 13
812:2x 2x 7x 29
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 2x 2x 2x 5x 11 = 1760
Therefore, the value for common factors is 1760.
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 = 23364954412800/(1x1760)
LCM = 23364954412800/1760
LCM = 13275542280
Thus, we can understand that the LCM of 120,814,715,812,412 is 13275542280.
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FAQs on LCM of 120, 814, 715, 812, 412
1. What is the LCM of 120, 814, 715, 812, 412?
Answer: LCM of 120, 814, 715, 812, 412 is 13275542280.
2. How to calculate the LCM of 120, 814, 715, 812, 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 120, 814, 715, 812, 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}.