LCM of 959, 540, 385, 409, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 540, 385, 409, 214 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 959, 540, 385, 409, 214. So, keep reading to learn more.
Given numbers are 959,540,385,409,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,540,385,409,214 is 249294178980.
Find LCM of 959,540,385,409,214 with Prime Factorization
| 2 | 959, 540, 385, 409, 214 |
| 5 | 959, 270, 385, 409, 107 |
| 7 | 959, 54, 77, 409, 107 |
| 137, 54, 11, 409, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 137 x 54 x 11 x 409 x 107 = 249294178980
Therefore, the lowest common multiple of 959,540,385,409,214 is 249294178980.
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.
959 x 540 x 385 x 409 x 214 = 17450592528600
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.
959 : 1, 7, 137, 959
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
385 : 1, 5, 7, 11, 35, 55, 77, 385
409 : 1, 409
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,540,385,409,214, is 1.
Now, the common factors can be found like this.
959:7x 137
540:2x 2x 3x 3x 3x 5
385:5x 7x 11
409:409
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7 = 70
Therefore, the value for common factors is 70.
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 = 17450592528600/(1x70)
LCM = 17450592528600/70
LCM = 249294178980
Thus, we can understand that the LCM of 959,540,385,409,214 is 249294178980.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 959, 540, 385, 409, 214
1. What is the LCM of 959, 540, 385, 409, 214?
Answer: LCM of 959, 540, 385, 409, 214 is 249294178980.
2. How to calculate the LCM of 959, 540, 385, 409, 214?
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 959, 540, 385, 409, 214.
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}.