LCM of 137, 814, 451, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 814, 451, 666 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 137, 814, 451, 666. So, keep reading to learn more.
Given numbers are 137,814,451,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,814,451,666 is 41150142.
Find LCM of 137,814,451,666 with Prime Factorization
| 2 | 137, 814, 451, 666 |
| 11 | 137, 407, 451, 333 |
| 37 | 137, 37, 41, 333 |
| 137, 1, 41, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 137 x 1 x 41 x 9 = 41150142
Therefore, the lowest common multiple of 137,814,451,666 is 41150142.
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.
137 x 814 x 451 x 666 = 33496215588
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.
137 : 1, 137
814 : 1, 2, 11, 22, 37, 74, 407, 814
451 : 1, 11, 41, 451
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,814,451,666, is 1.
Now, the common factors can be found like this.
137:137
814:2x 11x 37
451:11x 41
666:2x 3x 3x 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 11x 37 = 814
Therefore, the value for common factors is 814.
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 = 33496215588/(1x814)
LCM = 33496215588/814
LCM = 41150142
Thus, we can understand that the LCM of 137,814,451,666 is 41150142.
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FAQs on LCM of 137, 814, 451, 666
1. What is the LCM of 137, 814, 451, 666?
Answer: LCM of 137, 814, 451, 666 is 41150142.
2. How to calculate the LCM of 137, 814, 451, 666?
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 137, 814, 451, 666.
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}.