LCM of 858, 442, 617, 422, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 442, 617, 422, 940 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, 442, 617, 422, 940. So, keep reading to learn more.
Given numbers are 858,442,617,422,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,442,617,422,940 is 892486563540.
Find LCM of 858,442,617,422,940 with Prime Factorization
| 2 | 858, 442, 617, 422, 940 |
| 13 | 429, 221, 617, 211, 470 |
| 33, 17, 617, 211, 470 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 33 x 17 x 617 x 211 x 470 = 892486563540
Therefore, the lowest common multiple of 858,442,617,422,940 is 892486563540.
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 442 x 617 x 422 x 940 = 92818602608160
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
617 : 1, 617
422 : 1, 2, 211, 422
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,442,617,422,940, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
442:2x 13x 17
617:617
422:2x 211
940:2x 2x 5x 47
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 13 = 104
Therefore, the value for common factors is 104.
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 = 92818602608160/(1x104)
LCM = 92818602608160/104
LCM = 892486563540
Thus, we can understand that the LCM of 858,442,617,422,940 is 892486563540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 858, 442, 617, 422, 940
1. What is the LCM of 858, 442, 617, 422, 940?
Answer: LCM of 858, 442, 617, 422, 940 is 892486563540.
2. How to calculate the LCM of 858, 442, 617, 422, 940?
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, 442, 617, 422, 940.
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}.