Find the LCM of 496, 496, 227, 266, 940 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 496, 496, 227, 266, 940. So, keep reading to learn more.
Given numbers are 496,496,227,266,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,496,227,266,940 is 3519062960.
Find LCM of 496,496,227,266,940 with Prime Factorization
2 | 496, 496, 227, 266, 940 |
2 | 248, 248, 227, 133, 470 |
2 | 124, 124, 227, 133, 235 |
2 | 62, 62, 227, 133, 235 |
31 | 31, 31, 227, 133, 235 |
1, 1, 227, 133, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 31 x 1 x 1 x 227 x 133 x 235 = 3519062960
Therefore, the lowest common multiple of 496,496,227,266,940 is 3519062960.
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.
496 x 496 x 227 x 266 x 940 = 13963641825280
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
227 : 1, 227
266 : 1, 2, 7, 14, 19, 38, 133, 266
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,496,227,266,940, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
496:2x 2x 2x 2x 31
227:227
266:2x 7x 19
940:2x 2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 31 = 3968
Therefore, the value for common factors is 3968.
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 = 13963641825280/(1x3968)
LCM = 13963641825280/3968
LCM = 3519062960
Thus, we can understand that the LCM of 496,496,227,266,940 is 3519062960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 496, 496, 227, 266, 940?
Answer: LCM of 496, 496, 227, 266, 940 is 3519062960.
2. How to calculate the LCM of 496, 496, 227, 266, 940?
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 496, 496, 227, 266, 940.
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}.