LCM of 671, 764, 418, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 764, 418, 990 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 671, 764, 418, 990. So, keep reading to learn more.
Given numbers are 671,764,418,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,764,418,990 is 438310620.
Find LCM of 671,764,418,990 with Prime Factorization
| 2 | 671, 764, 418, 990 |
| 11 | 671, 382, 209, 495 |
| 61, 382, 19, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 61 x 382 x 19 x 45 = 438310620
Therefore, the lowest common multiple of 671,764,418,990 is 438310620.
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.
671 x 764 x 418 x 990 = 212142340080
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.
671 : 1, 11, 61, 671
764 : 1, 2, 4, 191, 382, 764
418 : 1, 2, 11, 19, 22, 38, 209, 418
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,764,418,990, is 1.
Now, the common factors can be found like this.
671:11x 61
764:2x 2x 191
418:2x 11x 19
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 212142340080/(1x484)
LCM = 212142340080/484
LCM = 438310620
Thus, we can understand that the LCM of 671,764,418,990 is 438310620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 764, 418, 990
1. What is the LCM of 671, 764, 418, 990?
Answer: LCM of 671, 764, 418, 990 is 438310620.
2. How to calculate the LCM of 671, 764, 418, 990?
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 671, 764, 418, 990.
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}.