LCM of 858, 854, 418, 158, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 854, 418, 158, 915 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 858, 854, 418, 158, 915. So, keep reading to learn more.
Given numbers are 858,854,418,158,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,854,418,158,915 is 2749576830.
Find LCM of 858,854,418,158,915 with Prime Factorization
| 2 | 858, 854, 418, 158, 915 |
| 3 | 429, 427, 209, 79, 915 |
| 11 | 143, 427, 209, 79, 305 |
| 61 | 13, 427, 19, 79, 305 |
| 13, 7, 19, 79, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 61 x 13 x 7 x 19 x 79 x 5 = 2749576830
Therefore, the lowest common multiple of 858,854,418,158,915 is 2749576830.
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.
858 x 854 x 418 x 158 x 915 = 44279185270320
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
854 : 1, 2, 7, 14, 61, 122, 427, 854
418 : 1, 2, 11, 19, 22, 38, 209, 418
158 : 1, 2, 79, 158
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,854,418,158,915, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
854:2x 7x 61
418:2x 11x 19
158:2x 79
915:3x 5x 61
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 3x 11x 61 = 16104
Therefore, the value for common factors is 16104.
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 = 44279185270320/(1x16104)
LCM = 44279185270320/16104
LCM = 2749576830
Thus, we can understand that the LCM of 858,854,418,158,915 is 2749576830.
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FAQs on LCM of 858, 854, 418, 158, 915
1. What is the LCM of 858, 854, 418, 158, 915?
Answer: LCM of 858, 854, 418, 158, 915 is 2749576830.
2. How to calculate the LCM of 858, 854, 418, 158, 915?
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 858, 854, 418, 158, 915.
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}.