LCM of 606, 747, 385, 869, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 747, 385, 869, 649 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 606, 747, 385, 869, 649. So, keep reading to learn more.
Given numbers are 606,747,385,869,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,747,385,869,649 is 270777019590.
Find LCM of 606,747,385,869,649 with Prime Factorization
| 3 | 606, 747, 385, 869, 649 |
| 11 | 202, 249, 385, 869, 649 |
| 202, 249, 35, 79, 59 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 202 x 249 x 35 x 79 x 59 = 270777019590
Therefore, the lowest common multiple of 606,747,385,869,649 is 270777019590.
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.
606 x 747 x 385 x 869 x 649 = 98292058111170
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
747 : 1, 3, 9, 83, 249, 747
385 : 1, 5, 7, 11, 35, 55, 77, 385
869 : 1, 11, 79, 869
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,747,385,869,649, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
747:3x 3x 83
385:5x 7x 11
869:11x 79
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11 = 363
Therefore, the value for common factors is 363.
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 = 98292058111170/(1x363)
LCM = 98292058111170/363
LCM = 270777019590
Thus, we can understand that the LCM of 606,747,385,869,649 is 270777019590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 606, 747, 385, 869, 649
1. What is the LCM of 606, 747, 385, 869, 649?
Answer: LCM of 606, 747, 385, 869, 649 is 270777019590.
2. How to calculate the LCM of 606, 747, 385, 869, 649?
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 606, 747, 385, 869, 649.
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}.