LCM of 412, 407, 427, 748, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 407, 427, 748, 560 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 412, 407, 427, 748, 560. So, keep reading to learn more.
Given numbers are 412,407,427,748,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,407,427,748,560 is 24344363120.
Find LCM of 412,407,427,748,560 with Prime Factorization
| 2 | 412, 407, 427, 748, 560 |
| 2 | 206, 407, 427, 374, 280 |
| 7 | 103, 407, 427, 187, 140 |
| 11 | 103, 407, 61, 187, 20 |
| 103, 37, 61, 17, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 103 x 37 x 61 x 17 x 20 = 24344363120
Therefore, the lowest common multiple of 412,407,427,748,560 is 24344363120.
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.
412 x 407 x 427 x 748 x 560 = 29992255363840
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.
412 : 1, 2, 4, 103, 206, 412
407 : 1, 11, 37, 407
427 : 1, 7, 61, 427
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,407,427,748,560, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
407:11x 37
427:7x 61
748:2x 2x 11x 17
560:2x 2x 2x 2x 5x 7
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 2x 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 29992255363840/(1x1232)
LCM = 29992255363840/1232
LCM = 24344363120
Thus, we can understand that the LCM of 412,407,427,748,560 is 24344363120.
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FAQs on LCM of 412, 407, 427, 748, 560
1. What is the LCM of 412, 407, 427, 748, 560?
Answer: LCM of 412, 407, 427, 748, 560 is 24344363120.
2. How to calculate the LCM of 412, 407, 427, 748, 560?
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 412, 407, 427, 748, 560.
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}.