Find the LCM of 804, 907, 247, 303, 505 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 804, 907, 247, 303, 505. So, keep reading to learn more.
Given numbers are 804,907,247,303,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,907,247,303,505 is 90960254580.
Find LCM of 804,907,247,303,505 with Prime Factorization
3 | 804, 907, 247, 303, 505 |
101 | 268, 907, 247, 101, 505 |
268, 907, 247, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 101 x 268 x 907 x 247 x 1 x 5 = 90960254580
Therefore, the lowest common multiple of 804,907,247,303,505 is 90960254580.
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.
804 x 907 x 247 x 303 x 505 = 27560957137740
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
907 : 1, 907
247 : 1, 13, 19, 247
303 : 1, 3, 101, 303
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,907,247,303,505, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
907:907
247:13x 19
303:3x 101
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 101 = 303
Therefore, the value for common factors is 303.
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 = 27560957137740/(1x303)
LCM = 27560957137740/303
LCM = 90960254580
Thus, we can understand that the LCM of 804,907,247,303,505 is 90960254580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 804, 907, 247, 303, 505?
Answer: LCM of 804, 907, 247, 303, 505 is 90960254580.
2. How to calculate the LCM of 804, 907, 247, 303, 505?
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 804, 907, 247, 303, 505.
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}.