LCM of 111, 884, 770, 858, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 884, 770, 858, 254 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 111, 884, 770, 858, 254. So, keep reading to learn more.
Given numbers are 111,884,770,858,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,884,770,858,254 is 4797772980.
Find LCM of 111,884,770,858,254 with Prime Factorization
| 2 | 111, 884, 770, 858, 254 |
| 3 | 111, 442, 385, 429, 127 |
| 11 | 37, 442, 385, 143, 127 |
| 13 | 37, 442, 35, 13, 127 |
| 37, 34, 35, 1, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 37 x 34 x 35 x 1 x 127 = 4797772980
Therefore, the lowest common multiple of 111,884,770,858,254 is 4797772980.
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.
111 x 884 x 770 x 858 x 254 = 16465956867360
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.
111 : 1, 3, 37, 111
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,884,770,858,254, is 1.
Now, the common factors can be found like this.
111:3x 37
884:2x 2x 13x 17
770:2x 5x 7x 11
858:2x 3x 11x 13
254:2x 127
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 13 = 3432
Therefore, the value for common factors is 3432.
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 = 16465956867360/(1x3432)
LCM = 16465956867360/3432
LCM = 4797772980
Thus, we can understand that the LCM of 111,884,770,858,254 is 4797772980.
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FAQs on LCM of 111, 884, 770, 858, 254
1. What is the LCM of 111, 884, 770, 858, 254?
Answer: LCM of 111, 884, 770, 858, 254 is 4797772980.
2. How to calculate the LCM of 111, 884, 770, 858, 254?
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 111, 884, 770, 858, 254.
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}.