LCM of 614, 572, 410, 429, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 572, 410, 429, 649 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 614, 572, 410, 429, 649. So, keep reading to learn more.
Given numbers are 614,572,410,429,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,572,410,429,649 is 6371791140.
Find LCM of 614,572,410,429,649 with Prime Factorization
| 2 | 614, 572, 410, 429, 649 |
| 11 | 307, 286, 205, 429, 649 |
| 13 | 307, 26, 205, 39, 59 |
| 307, 2, 205, 3, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 307 x 2 x 205 x 3 x 59 = 6371791140
Therefore, the lowest common multiple of 614,572,410,429,649 is 6371791140.
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.
614 x 572 x 410 x 429 x 649 = 40091309852880
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.
614 : 1, 2, 307, 614
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
410 : 1, 2, 5, 10, 41, 82, 205, 410
429 : 1, 3, 11, 13, 33, 39, 143, 429
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,572,410,429,649, is 1.
Now, the common factors can be found like this.
614:2x 307
572:2x 2x 11x 13
410:2x 5x 41
429:3x 11x 13
649:11x 59
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 11x 13 = 6292
Therefore, the value for common factors is 6292.
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 = 40091309852880/(1x6292)
LCM = 40091309852880/6292
LCM = 6371791140
Thus, we can understand that the LCM of 614,572,410,429,649 is 6371791140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 572, 410, 429, 649
1. What is the LCM of 614, 572, 410, 429, 649?
Answer: LCM of 614, 572, 410, 429, 649 is 6371791140.
2. How to calculate the LCM of 614, 572, 410, 429, 649?
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 614, 572, 410, 429, 649.
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}.