LCM of 421, 805, 496, 382, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 805, 496, 382, 776 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 421, 805, 496, 382, 776. So, keep reading to learn more.
Given numbers are 421,805,496,382,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,805,496,382,776 is 3114330895760.
Find LCM of 421,805,496,382,776 with Prime Factorization
| 2 | 421, 805, 496, 382, 776 |
| 2 | 421, 805, 248, 191, 388 |
| 2 | 421, 805, 124, 191, 194 |
| 421, 805, 62, 191, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 421 x 805 x 62 x 191 x 97 = 3114330895760
Therefore, the lowest common multiple of 421,805,496,382,776 is 3114330895760.
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.
421 x 805 x 496 x 382 x 776 = 49829294332160
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.
421 : 1, 421
805 : 1, 5, 7, 23, 35, 115, 161, 805
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
382 : 1, 2, 191, 382
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,805,496,382,776, is 1.
Now, the common factors can be found like this.
421:421
805:5x 7x 23
496:2x 2x 2x 2x 31
382:2x 191
776:2x 2x 2x 97
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 49829294332160/(1x16)
LCM = 49829294332160/16
LCM = 3114330895760
Thus, we can understand that the LCM of 421,805,496,382,776 is 3114330895760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 421, 805, 496, 382, 776
1. What is the LCM of 421, 805, 496, 382, 776?
Answer: LCM of 421, 805, 496, 382, 776 is 3114330895760.
2. How to calculate the LCM of 421, 805, 496, 382, 776?
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 421, 805, 496, 382, 776.
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}.