LCM of 611, 351, 763, 858, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 351, 763, 858, 771 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 611, 351, 763, 858, 771. So, keep reading to learn more.
Given numbers are 611,351,763,858,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,351,763,858,771 is 71168090994.
Find LCM of 611,351,763,858,771 with Prime Factorization
| 3 | 611, 351, 763, 858, 771 |
| 13 | 611, 117, 763, 286, 257 |
| 47, 9, 763, 22, 257 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 47 x 9 x 763 x 22 x 257 = 71168090994
Therefore, the lowest common multiple of 611,351,763,858,771 is 71168090994.
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.
611 x 351 x 763 x 858 x 771 = 108246666401874
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.
611 : 1, 13, 47, 611
351 : 1, 3, 9, 13, 27, 39, 117, 351
763 : 1, 7, 109, 763
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,351,763,858,771, is 1.
Now, the common factors can be found like this.
611:13x 47
351:3x 3x 3x 13
763:7x 109
858:2x 3x 11x 13
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 13 = 1521
Therefore, the value for common factors is 1521.
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 = 108246666401874/(1x1521)
LCM = 108246666401874/1521
LCM = 71168090994
Thus, we can understand that the LCM of 611,351,763,858,771 is 71168090994.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 611, 351, 763, 858, 771
1. What is the LCM of 611, 351, 763, 858, 771?
Answer: LCM of 611, 351, 763, 858, 771 is 71168090994.
2. How to calculate the LCM of 611, 351, 763, 858, 771?
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 611, 351, 763, 858, 771.
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}.