LCM of 409, 837, 351, 155
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 837, 351, 155 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 409, 837, 351, 155. So, keep reading to learn more.
Given numbers are 409,837,351,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,837,351,155 is 22251645.
Find LCM of 409,837,351,155 with Prime Factorization
| 3 | 409, 837, 351, 155 |
| 3 | 409, 279, 117, 155 |
| 3 | 409, 93, 39, 155 |
| 31 | 409, 31, 13, 155 |
| 409, 1, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 31 x 409 x 1 x 13 x 5 = 22251645
Therefore, the lowest common multiple of 409,837,351,155 is 22251645.
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.
409 x 837 x 351 x 155 = 18624626865
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.
409 : 1, 409
837 : 1, 3, 9, 27, 31, 93, 279, 837
351 : 1, 3, 9, 13, 27, 39, 117, 351
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,837,351,155, is 1.
Now, the common factors can be found like this.
409:409
837:3x 3x 3x 31
351:3x 3x 3x 13
155:5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 31 = 837
Therefore, the value for common factors is 837.
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 = 18624626865/(1x837)
LCM = 18624626865/837
LCM = 22251645
Thus, we can understand that the LCM of 409,837,351,155 is 22251645.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 837, 351, 155
1. What is the LCM of 409, 837, 351, 155?
Answer: LCM of 409, 837, 351, 155 is 22251645.
2. How to calculate the LCM of 409, 837, 351, 155?
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 409, 837, 351, 155.
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}.