LCM of 814, 308, 756, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 308, 756, 224 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 814, 308, 756, 224. So, keep reading to learn more.
Given numbers are 814,308,756,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,308,756,224 is 2461536.
Find LCM of 814,308,756,224 with Prime Factorization
| 2 | 814, 308, 756, 224 |
| 2 | 407, 154, 378, 112 |
| 7 | 407, 77, 189, 56 |
| 11 | 407, 11, 27, 8 |
| 37, 1, 27, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 37 x 1 x 27 x 8 = 2461536
Therefore, the lowest common multiple of 814,308,756,224 is 2461536.
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.
814 x 308 x 756 x 224 = 42456572928
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,308,756,224, is 2.
Now, the common factors can be found like this.
814:2x 11x 37
308:2x 2x 7x 11
756:2x 2x 3x 3x 3x 7
224:2x 2x 2x 2x 2x 7
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 7x 7x 11 = 8624
Therefore, the value for common factors is 8624.
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 = 42456572928/(2x8624)
LCM = 42456572928/17248
LCM = 2461536
Thus, we can understand that the LCM of 814,308,756,224 is 2461536.
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FAQs on LCM of 814, 308, 756, 224
1. What is the LCM of 814, 308, 756, 224?
Answer: LCM of 814, 308, 756, 224 is 2461536.
2. How to calculate the LCM of 814, 308, 756, 224?
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 814, 308, 756, 224.
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}.