LCM of 411, 817, 771, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 411, 817, 771, 645 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 411, 817, 771, 645. So, keep reading to learn more.
Given numbers are 411,817,771,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,817,771,645 is 431486295.
Find LCM of 411,817,771,645 with Prime Factorization
| 3 | 411, 817, 771, 645 |
| 43 | 137, 817, 257, 215 |
| 137, 19, 257, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 137 x 19 x 257 x 5 = 431486295
Therefore, the lowest common multiple of 411,817,771,645 is 431486295.
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.
411 x 817 x 771 x 645 = 166985196165
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.
411 : 1, 3, 137, 411
817 : 1, 19, 43, 817
771 : 1, 3, 257, 771
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,817,771,645, is 1.
Now, the common factors can be found like this.
411:3x 137
817:19x 43
771:3x 257
645:3x 5x 43
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 43 = 387
Therefore, the value for common factors is 387.
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 = 166985196165/(1x387)
LCM = 166985196165/387
LCM = 431486295
Thus, we can understand that the LCM of 411,817,771,645 is 431486295.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 411, 817, 771, 645
1. What is the LCM of 411, 817, 771, 645?
Answer: LCM of 411, 817, 771, 645 is 431486295.
2. How to calculate the LCM of 411, 817, 771, 645?
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 411, 817, 771, 645.
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}.