LCM of 854, 518, 455, 250, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 518, 455, 250, 114 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 854, 518, 455, 250, 114. So, keep reading to learn more.
Given numbers are 854,518,455,250,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,518,455,250,114 is 2926764750.
Find LCM of 854,518,455,250,114 with Prime Factorization
| 2 | 854, 518, 455, 250, 114 |
| 5 | 427, 259, 455, 125, 57 |
| 7 | 427, 259, 91, 25, 57 |
| 61, 37, 13, 25, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 61 x 37 x 13 x 25 x 57 = 2926764750
Therefore, the lowest common multiple of 854,518,455,250,114 is 2926764750.
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.
854 x 518 x 455 x 250 x 114 = 5736458910000
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
518 : 1, 2, 7, 14, 37, 74, 259, 518
455 : 1, 5, 7, 13, 35, 65, 91, 455
250 : 1, 2, 5, 10, 25, 50, 125, 250
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,518,455,250,114, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
518:2x 7x 37
455:5x 7x 13
250:2x 5x 5x 5
114:2x 3x 19
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 2x 5x 7x 7 = 1960
Therefore, the value for common factors is 1960.
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 = 5736458910000/(1x1960)
LCM = 5736458910000/1960
LCM = 2926764750
Thus, we can understand that the LCM of 854,518,455,250,114 is 2926764750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 854, 518, 455, 250, 114
1. What is the LCM of 854, 518, 455, 250, 114?
Answer: LCM of 854, 518, 455, 250, 114 is 2926764750.
2. How to calculate the LCM of 854, 518, 455, 250, 114?
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 854, 518, 455, 250, 114.
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}.