LCM of 421, 634, 572, 517, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 634, 572, 517, 464 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, 634, 572, 517, 464. So, keep reading to learn more.
Given numbers are 421,634,572,517,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,634,572,517,464 is 416191526608.
Find LCM of 421,634,572,517,464 with Prime Factorization
| 2 | 421, 634, 572, 517, 464 |
| 2 | 421, 317, 286, 517, 232 |
| 11 | 421, 317, 143, 517, 116 |
| 421, 317, 13, 47, 116 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 421 x 317 x 13 x 47 x 116 = 416191526608
Therefore, the lowest common multiple of 421,634,572,517,464 is 416191526608.
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 634 x 572 x 517 x 464 = 36624854341504
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
634 : 1, 2, 317, 634
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
517 : 1, 11, 47, 517
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,634,572,517,464, is 1.
Now, the common factors can be found like this.
421:421
634:2x 317
572:2x 2x 11x 13
517:11x 47
464:2x 2x 2x 2x 29
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 11 = 88
Therefore, the value for common factors is 88.
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 = 36624854341504/(1x88)
LCM = 36624854341504/88
LCM = 416191526608
Thus, we can understand that the LCM of 421,634,572,517,464 is 416191526608.
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, 634, 572, 517, 464
1. What is the LCM of 421, 634, 572, 517, 464?
Answer: LCM of 421, 634, 572, 517, 464 is 416191526608.
2. How to calculate the LCM of 421, 634, 572, 517, 464?
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, 634, 572, 517, 464.
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}.