LCM of 812, 592, 422, 696, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 592, 422, 696, 803 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 812, 592, 422, 696, 803. So, keep reading to learn more.
Given numbers are 812,592,422,696,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,592,422,696,803 is 61085340624.
Find LCM of 812,592,422,696,803 with Prime Factorization
| 2 | 812, 592, 422, 696, 803 |
| 2 | 406, 296, 211, 348, 803 |
| 2 | 203, 148, 211, 174, 803 |
| 29 | 203, 74, 211, 87, 803 |
| 7, 74, 211, 3, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 7 x 74 x 211 x 3 x 803 = 61085340624
Therefore, the lowest common multiple of 812,592,422,696,803 is 61085340624.
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.
812 x 592 x 422 x 696 x 803 = 113374392198144
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
422 : 1, 2, 211, 422
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,592,422,696,803, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
592:2x 2x 2x 2x 37
422:2x 211
696:2x 2x 2x 3x 29
803:11x 73
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 29 = 1856
Therefore, the value for common factors is 1856.
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 = 113374392198144/(1x1856)
LCM = 113374392198144/1856
LCM = 61085340624
Thus, we can understand that the LCM of 812,592,422,696,803 is 61085340624.
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FAQs on LCM of 812, 592, 422, 696, 803
1. What is the LCM of 812, 592, 422, 696, 803?
Answer: LCM of 812, 592, 422, 696, 803 is 61085340624.
2. How to calculate the LCM of 812, 592, 422, 696, 803?
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 812, 592, 422, 696, 803.
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}.