LCM of 385, 702, 559, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 702, 559, 855 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 385, 702, 559, 855. So, keep reading to learn more.
Given numbers are 385,702,559,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,702,559,855 is 220810590.
Find LCM of 385,702,559,855 with Prime Factorization
| 3 | 385, 702, 559, 855 |
| 3 | 385, 234, 559, 285 |
| 5 | 385, 78, 559, 95 |
| 13 | 77, 78, 559, 19 |
| 77, 6, 43, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 77 x 6 x 43 x 19 = 220810590
Therefore, the lowest common multiple of 385,702,559,855 is 220810590.
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.
385 x 702 x 559 x 855 = 129174195150
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
559 : 1, 13, 43, 559
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,702,559,855, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
702:2x 3x 3x 3x 13
559:13x 43
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13 = 585
Therefore, the value for common factors is 585.
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 = 129174195150/(1x585)
LCM = 129174195150/585
LCM = 220810590
Thus, we can understand that the LCM of 385,702,559,855 is 220810590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 385, 702, 559, 855
1. What is the LCM of 385, 702, 559, 855?
Answer: LCM of 385, 702, 559, 855 is 220810590.
2. How to calculate the LCM of 385, 702, 559, 855?
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 385, 702, 559, 855.
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}.