LCM of 806, 418, 174, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 418, 174, 693 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 806, 418, 174, 693. So, keep reading to learn more.
Given numbers are 806,418,174,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,418,174,693 is 307765458.
Find LCM of 806,418,174,693 with Prime Factorization
| 2 | 806, 418, 174, 693 |
| 3 | 403, 209, 87, 693 |
| 11 | 403, 209, 29, 231 |
| 403, 19, 29, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 403 x 19 x 29 x 21 = 307765458
Therefore, the lowest common multiple of 806,418,174,693 is 307765458.
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.
806 x 418 x 174 x 693 = 40625040456
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
418 : 1, 2, 11, 19, 22, 38, 209, 418
174 : 1, 2, 3, 6, 29, 58, 87, 174
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,418,174,693, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
418:2x 11x 19
174:2x 3x 29
693:3x 3x 7x 11
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 11 = 132
Therefore, the value for common factors is 132.
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 = 40625040456/(1x132)
LCM = 40625040456/132
LCM = 307765458
Thus, we can understand that the LCM of 806,418,174,693 is 307765458.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 806, 418, 174, 693
1. What is the LCM of 806, 418, 174, 693?
Answer: LCM of 806, 418, 174, 693 is 307765458.
2. How to calculate the LCM of 806, 418, 174, 693?
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 806, 418, 174, 693.
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}.