Find the LCM of 409, 655, 270, 495, 735 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, 655, 270, 495, 735. So, keep reading to learn more.
Given numbers are 409,655,270,495,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,655,270,495,735 is 7797351870.
Find LCM of 409,655,270,495,735 with Prime Factorization
3 | 409, 655, 270, 495, 735 |
3 | 409, 655, 90, 165, 245 |
5 | 409, 655, 30, 55, 245 |
409, 131, 6, 11, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 409 x 131 x 6 x 11 x 49 = 7797351870
Therefore, the lowest common multiple of 409,655,270,495,735 is 7797351870.
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 655 x 270 x 495 x 735 = 26316062561250
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
655 : 1, 5, 131, 655
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,655,270,495,735, is 1.
Now, the common factors can be found like this.
409:409
655:5x 131
270:2x 3x 3x 3x 5
495:3x 3x 5x 11
735:3x 5x 7x 7
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 5x 5x 5 = 3375
Therefore, the value for common factors is 3375.
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 = 26316062561250/(1x3375)
LCM = 26316062561250/3375
LCM = 7797351870
Thus, we can understand that the LCM of 409,655,270,495,735 is 7797351870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 655, 270, 495, 735?
Answer: LCM of 409, 655, 270, 495, 735 is 7797351870.
2. How to calculate the LCM of 409, 655, 270, 495, 735?
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, 655, 270, 495, 735.
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}.