LCM of 900, 351, 969, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 351, 969, 494 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 900, 351, 969, 494. So, keep reading to learn more.
Given numbers are 900,351,969,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,351,969,494 is 11337300.
Find LCM of 900,351,969,494 with Prime Factorization
| 2 | 900, 351, 969, 494 |
| 3 | 450, 351, 969, 247 |
| 3 | 150, 117, 323, 247 |
| 13 | 50, 39, 323, 247 |
| 19 | 50, 3, 323, 19 |
| 50, 3, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 19 x 50 x 3 x 17 x 1 = 11337300
Therefore, the lowest common multiple of 900,351,969,494 is 11337300.
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.
900 x 351 x 969 x 494 = 151216907400
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
351 : 1, 3, 9, 13, 27, 39, 117, 351
969 : 1, 3, 17, 19, 51, 57, 323, 969
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,351,969,494, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
351:3x 3x 3x 13
969:3x 17x 19
494:2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 13x 19 = 13338
Therefore, the value for common factors is 13338.
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 = 151216907400/(1x13338)
LCM = 151216907400/13338
LCM = 11337300
Thus, we can understand that the LCM of 900,351,969,494 is 11337300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 900, 351, 969, 494
1. What is the LCM of 900, 351, 969, 494?
Answer: LCM of 900, 351, 969, 494 is 11337300.
2. How to calculate the LCM of 900, 351, 969, 494?
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 900, 351, 969, 494.
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}.