LCM of 555, 906, 755, 811, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 555, 906, 755, 811, 811 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 555, 906, 755, 811, 811. So, keep reading to learn more.
Given numbers are 555,906,755,811,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,906,755,811,811 is 135931710.
Find LCM of 555,906,755,811,811 with Prime Factorization
| 3 | 555, 906, 755, 811, 811 |
| 5 | 185, 302, 755, 811, 811 |
| 151 | 37, 302, 151, 811, 811 |
| 811 | 37, 2, 1, 811, 811 |
| 37, 2, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 151 x 811 x 37 x 2 x 1 x 1 x 1 = 135931710
Therefore, the lowest common multiple of 555,906,755,811,811 is 135931710.
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.
555 x 906 x 755 x 811 x 811 = 249694997074650
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
906 : 1, 2, 3, 6, 151, 302, 453, 906
755 : 1, 5, 151, 755
811 : 1, 811
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,906,755,811,811, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
906:2x 3x 151
755:5x 151
811:811
811:811
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 151x 811 = 1836915
Therefore, the value for common factors is 1836915.
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 = 249694997074650/(1x1836915)
LCM = 249694997074650/1836915
LCM = 135931710
Thus, we can understand that the LCM of 555,906,755,811,811 is 135931710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 555, 906, 755, 811, 811
1. What is the LCM of 555, 906, 755, 811, 811?
Answer: LCM of 555, 906, 755, 811, 811 is 135931710.
2. How to calculate the LCM of 555, 906, 755, 811, 811?
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 555, 906, 755, 811, 811.
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}.