LCM of 591, 302, 906, 869, 443
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 302, 906, 869, 443 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 591, 302, 906, 869, 443. So, keep reading to learn more.
Given numbers are 591,302,906,869,443
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,302,906,869,443 is 68709680094.
Find LCM of 591,302,906,869,443 with Prime Factorization
| 2 | 591, 302, 906, 869, 443 |
| 3 | 591, 151, 453, 869, 443 |
| 151 | 197, 151, 151, 869, 443 |
| 197, 1, 1, 869, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 197 x 1 x 1 x 869 x 443 = 68709680094
Therefore, the lowest common multiple of 591,302,906,869,443 is 68709680094.
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.
591 x 302 x 906 x 869 x 443 = 62250970165164
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.
591 : 1, 3, 197, 591
302 : 1, 2, 151, 302
906 : 1, 2, 3, 6, 151, 302, 453, 906
869 : 1, 11, 79, 869
443 : 1, 443
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,302,906,869,443, is 1.
Now, the common factors can be found like this.
591:3x 197
302:2x 151
906:2x 3x 151
869:11x 79
443:443
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 151 = 906
Therefore, the value for common factors is 906.
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 = 62250970165164/(1x906)
LCM = 62250970165164/906
LCM = 68709680094
Thus, we can understand that the LCM of 591,302,906,869,443 is 68709680094.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 591, 302, 906, 869, 443
1. What is the LCM of 591, 302, 906, 869, 443?
Answer: LCM of 591, 302, 906, 869, 443 is 68709680094.
2. How to calculate the LCM of 591, 302, 906, 869, 443?
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 591, 302, 906, 869, 443.
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}.