LCM of 472, 407, 145, 112, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 407, 145, 112, 814 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 472, 407, 145, 112, 814. So, keep reading to learn more.
Given numbers are 472,407,145,112,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,407,145,112,814 is 389971120.
Find LCM of 472,407,145,112,814 with Prime Factorization
| 2 | 472, 407, 145, 112, 814 |
| 2 | 236, 407, 145, 56, 407 |
| 2 | 118, 407, 145, 28, 407 |
| 11 | 59, 407, 145, 14, 407 |
| 37 | 59, 37, 145, 14, 37 |
| 59, 1, 145, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 37 x 59 x 1 x 145 x 14 x 1 = 389971120
Therefore, the lowest common multiple of 472,407,145,112,814 is 389971120.
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.
472 x 407 x 145 x 112 x 814 = 2539491933440
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
407 : 1, 11, 37, 407
145 : 1, 5, 29, 145
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,407,145,112,814, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
407:11x 37
145:5x 29
112:2x 2x 2x 2x 7
814:2x 11x 37
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 11x 37 = 6512
Therefore, the value for common factors is 6512.
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 = 2539491933440/(1x6512)
LCM = 2539491933440/6512
LCM = 389971120
Thus, we can understand that the LCM of 472,407,145,112,814 is 389971120.
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FAQs on LCM of 472, 407, 145, 112, 814
1. What is the LCM of 472, 407, 145, 112, 814?
Answer: LCM of 472, 407, 145, 112, 814 is 389971120.
2. How to calculate the LCM of 472, 407, 145, 112, 814?
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 472, 407, 145, 112, 814.
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}.