LCM of 909, 301, 690, 529, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 301, 690, 529, 838 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 909, 301, 690, 529, 838. So, keep reading to learn more.
Given numbers are 909,301,690,529,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,301,690,529,838 is 606457084590.
Find LCM of 909,301,690,529,838 with Prime Factorization
| 2 | 909, 301, 690, 529, 838 |
| 3 | 909, 301, 345, 529, 419 |
| 23 | 303, 301, 115, 529, 419 |
| 303, 301, 5, 23, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 303 x 301 x 5 x 23 x 419 = 606457084590
Therefore, the lowest common multiple of 909,301,690,529,838 is 606457084590.
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.
909 x 301 x 690 x 529 x 838 = 83691077673420
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.
909 : 1, 3, 9, 101, 303, 909
301 : 1, 7, 43, 301
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
529 : 1, 23, 529
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,301,690,529,838, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
301:7x 43
690:2x 3x 5x 23
529:23x 23
838:2x 419
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 23 = 138
Therefore, the value for common factors is 138.
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 = 83691077673420/(1x138)
LCM = 83691077673420/138
LCM = 606457084590
Thus, we can understand that the LCM of 909,301,690,529,838 is 606457084590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 909, 301, 690, 529, 838
1. What is the LCM of 909, 301, 690, 529, 838?
Answer: LCM of 909, 301, 690, 529, 838 is 606457084590.
2. How to calculate the LCM of 909, 301, 690, 529, 838?
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 909, 301, 690, 529, 838.
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}.