LCM of 855, 908, 532, 619, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 908, 532, 619, 255 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, 908, 532, 619, 255. So, keep reading to learn more.
Given numbers are 855,908,532,619,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,908,532,619,255 is 57185980740.
Find LCM of 855,908,532,619,255 with Prime Factorization
| 2 | 855, 908, 532, 619, 255 |
| 2 | 855, 454, 266, 619, 255 |
| 3 | 855, 227, 133, 619, 255 |
| 5 | 285, 227, 133, 619, 85 |
| 19 | 57, 227, 133, 619, 17 |
| 3, 227, 7, 619, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 3 x 227 x 7 x 619 x 17 = 57185980740
Therefore, the lowest common multiple of 855,908,532,619,255 is 57185980740.
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 908 x 532 x 619 x 255 = 65192018043600
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
908 : 1, 2, 4, 227, 454, 908
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
619 : 1, 619
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,908,532,619,255, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
908:2x 2x 227
532:2x 2x 7x 19
619:619
255:3x 5x 17
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 5x 19 = 1140
Therefore, the value for common factors is 1140.
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 = 65192018043600/(1x1140)
LCM = 65192018043600/1140
LCM = 57185980740
Thus, we can understand that the LCM of 855,908,532,619,255 is 57185980740.
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FAQs on LCM of 855, 908, 532, 619, 255
1. What is the LCM of 855, 908, 532, 619, 255?
Answer: LCM of 855, 908, 532, 619, 255 is 57185980740.
2. How to calculate the LCM of 855, 908, 532, 619, 255?
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, 908, 532, 619, 255.
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}.