LCM of 803, 690, 552, 429, 873
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 690, 552, 429, 873 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 803, 690, 552, 429, 873. So, keep reading to learn more.
Given numbers are 803,690,552,429,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,690,552,429,873 is 8384187240.
Find LCM of 803,690,552,429,873 with Prime Factorization
| 2 | 803, 690, 552, 429, 873 |
| 3 | 803, 345, 276, 429, 873 |
| 11 | 803, 115, 92, 143, 291 |
| 23 | 73, 115, 92, 13, 291 |
| 73, 5, 4, 13, 291 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 73 x 5 x 4 x 13 x 291 = 8384187240
Therefore, the lowest common multiple of 803,690,552,429,873 is 8384187240.
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.
803 x 690 x 552 x 429 x 873 = 114544766072880
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.
803 : 1, 11, 73, 803
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
429 : 1, 3, 11, 13, 33, 39, 143, 429
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,690,552,429,873, is 1.
Now, the common factors can be found like this.
803:11x 73
690:2x 3x 5x 23
552:2x 2x 2x 3x 23
429:3x 11x 13
873:3x 3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 23 = 13662
Therefore, the value for common factors is 13662.
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 = 114544766072880/(1x13662)
LCM = 114544766072880/13662
LCM = 8384187240
Thus, we can understand that the LCM of 803,690,552,429,873 is 8384187240.
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FAQs on LCM of 803, 690, 552, 429, 873
1. What is the LCM of 803, 690, 552, 429, 873?
Answer: LCM of 803, 690, 552, 429, 873 is 8384187240.
2. How to calculate the LCM of 803, 690, 552, 429, 873?
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 803, 690, 552, 429, 873.
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}.