LCM of 855, 815, 782, 107, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 815, 782, 107, 956 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, 815, 782, 107, 956. So, keep reading to learn more.
Given numbers are 855,815,782,107,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,815,782,107,956 is 5574066510780.
Find LCM of 855,815,782,107,956 with Prime Factorization
| 2 | 855, 815, 782, 107, 956 |
| 5 | 855, 815, 391, 107, 478 |
| 171, 163, 391, 107, 478 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 171 x 163 x 391 x 107 x 478 = 5574066510780
Therefore, the lowest common multiple of 855,815,782,107,956 is 5574066510780.
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 815 x 782 x 107 x 956 = 55740665107800
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
815 : 1, 5, 163, 815
782 : 1, 2, 17, 23, 34, 46, 391, 782
107 : 1, 107
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,815,782,107,956, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
815:5x 163
782:2x 17x 23
107:107
956:2x 2x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 55740665107800/(1x10)
LCM = 55740665107800/10
LCM = 5574066510780
Thus, we can understand that the LCM of 855,815,782,107,956 is 5574066510780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 855, 815, 782, 107, 956
1. What is the LCM of 855, 815, 782, 107, 956?
Answer: LCM of 855, 815, 782, 107, 956 is 5574066510780.
2. How to calculate the LCM of 855, 815, 782, 107, 956?
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, 815, 782, 107, 956.
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}.