LCM of 857, 263, 922, 526, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 263, 922, 526, 110 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 857, 263, 922, 526, 110. So, keep reading to learn more.
Given numbers are 857,263,922,526,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,263,922,526,110 is 11429577610.
Find LCM of 857,263,922,526,110 with Prime Factorization
| 2 | 857, 263, 922, 526, 110 |
| 263 | 857, 263, 461, 263, 55 |
| 857, 1, 461, 1, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 263 x 857 x 1 x 461 x 1 x 55 = 11429577610
Therefore, the lowest common multiple of 857,263,922,526,110 is 11429577610.
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.
857 x 263 x 922 x 526 x 110 = 12023915645720
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.
857 : 1, 857
263 : 1, 263
922 : 1, 2, 461, 922
526 : 1, 2, 263, 526
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,263,922,526,110, is 1.
Now, the common factors can be found like this.
857:857
263:263
922:2x 461
526:2x 263
110:2x 5x 11
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 263 = 1052
Therefore, the value for common factors is 1052.
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 = 12023915645720/(1x1052)
LCM = 12023915645720/1052
LCM = 11429577610
Thus, we can understand that the LCM of 857,263,922,526,110 is 11429577610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 857, 263, 922, 526, 110
1. What is the LCM of 857, 263, 922, 526, 110?
Answer: LCM of 857, 263, 922, 526, 110 is 11429577610.
2. How to calculate the LCM of 857, 263, 922, 526, 110?
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 857, 263, 922, 526, 110.
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}.