Find the LCM of 477, 920, 770, 275, 809 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 477, 920, 770, 275, 809. So, keep reading to learn more.
Given numbers are 477,920,770,275,809
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,920,770,275,809 is 136683300600.
Find LCM of 477,920,770,275,809 with Prime Factorization
2 | 477, 920, 770, 275, 809 |
5 | 477, 460, 385, 275, 809 |
11 | 477, 92, 77, 55, 809 |
477, 92, 7, 5, 809 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 477 x 92 x 7 x 5 x 809 = 136683300600
Therefore, the lowest common multiple of 477,920,770,275,809 is 136683300600.
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.
477 x 920 x 770 x 275 x 809 = 75175815330000
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.
477 : 1, 3, 9, 53, 159, 477
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
275 : 1, 5, 11, 25, 55, 275
809 : 1, 809
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,920,770,275,809, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
920:2x 2x 2x 5x 23
770:2x 5x 7x 11
275:5x 5x 11
809:809
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 5x 11 = 550
Therefore, the value for common factors is 550.
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 = 75175815330000/(1x550)
LCM = 75175815330000/550
LCM = 136683300600
Thus, we can understand that the LCM of 477,920,770,275,809 is 136683300600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 477, 920, 770, 275, 809?
Answer: LCM of 477, 920, 770, 275, 809 is 136683300600.
2. How to calculate the LCM of 477, 920, 770, 275, 809?
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 477, 920, 770, 275, 809.
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}.