LCM of 943, 762, 574, 437, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 762, 574, 437, 311 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 943, 762, 574, 437, 311. So, keep reading to learn more.
Given numbers are 943,762,574,437,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,762,574,437,311 is 29722045458.
Find LCM of 943,762,574,437,311 with Prime Factorization
| 2 | 943, 762, 574, 437, 311 |
| 23 | 943, 381, 287, 437, 311 |
| 41 | 41, 381, 287, 19, 311 |
| 1, 381, 7, 19, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 41 x 1 x 381 x 7 x 19 x 311 = 29722045458
Therefore, the lowest common multiple of 943,762,574,437,311 is 29722045458.
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.
943 x 762 x 574 x 437 x 311 = 56055777733788
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.
943 : 1, 23, 41, 943
762 : 1, 2, 3, 6, 127, 254, 381, 762
574 : 1, 2, 7, 14, 41, 82, 287, 574
437 : 1, 19, 23, 437
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,762,574,437,311, is 1.
Now, the common factors can be found like this.
943:23x 41
762:2x 3x 127
574:2x 7x 41
437:19x 23
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 41 = 1886
Therefore, the value for common factors is 1886.
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 = 56055777733788/(1x1886)
LCM = 56055777733788/1886
LCM = 29722045458
Thus, we can understand that the LCM of 943,762,574,437,311 is 29722045458.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 943, 762, 574, 437, 311
1. What is the LCM of 943, 762, 574, 437, 311?
Answer: LCM of 943, 762, 574, 437, 311 is 29722045458.
2. How to calculate the LCM of 943, 762, 574, 437, 311?
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 943, 762, 574, 437, 311.
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}.