LCM of 855, 385, 849, 627, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 385, 849, 627, 407 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 855, 385, 849, 627, 407. So, keep reading to learn more.
Given numbers are 855,385,849,627,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,385,849,627,407 is 689358285.
Find LCM of 855,385,849,627,407 with Prime Factorization
| 3 | 855, 385, 849, 627, 407 |
| 5 | 285, 385, 283, 209, 407 |
| 11 | 57, 77, 283, 209, 407 |
| 19 | 57, 7, 283, 19, 37 |
| 3, 7, 283, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 19 x 3 x 7 x 283 x 1 x 37 = 689358285
Therefore, the lowest common multiple of 855,385,849,627,407 is 689358285.
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.
855 x 385 x 849 x 627 x 407 = 71317561374675
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
385 : 1, 5, 7, 11, 35, 55, 77, 385
849 : 1, 3, 283, 849
627 : 1, 3, 11, 19, 33, 57, 209, 627
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,385,849,627,407, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
385:5x 7x 11
849:3x 283
627:3x 11x 19
407:11x 37
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 11x 11x 19 = 103455
Therefore, the value for common factors is 103455.
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 = 71317561374675/(1x103455)
LCM = 71317561374675/103455
LCM = 689358285
Thus, we can understand that the LCM of 855,385,849,627,407 is 689358285.
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FAQs on LCM of 855, 385, 849, 627, 407
1. What is the LCM of 855, 385, 849, 627, 407?
Answer: LCM of 855, 385, 849, 627, 407 is 689358285.
2. How to calculate the LCM of 855, 385, 849, 627, 407?
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 855, 385, 849, 627, 407.
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}.