LCM of 419, 150, 465, 701, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 419, 150, 465, 701, 731 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 419, 150, 465, 701, 731. So, keep reading to learn more.
Given numbers are 419,150,465,701,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 419,150,465,701,731 is 998394938850.
Find LCM of 419,150,465,701,731 with Prime Factorization
| 3 | 419, 150, 465, 701, 731 |
| 5 | 419, 50, 155, 701, 731 |
| 419, 10, 31, 701, 731 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 419 x 10 x 31 x 701 x 731 = 998394938850
Therefore, the lowest common multiple of 419,150,465,701,731 is 998394938850.
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.
419 x 150 x 465 x 701 x 731 = 14975924082750
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.
419 : 1, 419
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
465 : 1, 3, 5, 15, 31, 93, 155, 465
701 : 1, 701
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,150,465,701,731, is 1.
Now, the common factors can be found like this.
419:419
150:2x 3x 5x 5
465:3x 5x 31
701:701
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 14975924082750/(1x15)
LCM = 14975924082750/15
LCM = 998394938850
Thus, we can understand that the LCM of 419,150,465,701,731 is 998394938850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 419, 150, 465, 701, 731
1. What is the LCM of 419, 150, 465, 701, 731?
Answer: LCM of 419, 150, 465, 701, 731 is 998394938850.
2. How to calculate the LCM of 419, 150, 465, 701, 731?
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 419, 150, 465, 701, 731.
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}.