Find the LCM of 946, 606, 799, 496 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 946, 606, 799, 496. So, keep reading to learn more.
Given numbers are 946,606,799,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,606,799,496 is 56797892976.
Find LCM of 946,606,799,496 with Prime Factorization
2 | 946, 606, 799, 496 |
473, 303, 799, 248 |
Multiply the prime numbers at the bottom and the left side.
2 x 473 x 303 x 799 x 248 = 56797892976
Therefore, the lowest common multiple of 946,606,799,496 is 56797892976.
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.
946 x 606 x 799 x 496 = 227191571904
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
606 : 1, 2, 3, 6, 101, 202, 303, 606
799 : 1, 17, 47, 799
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,606,799,496, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
606:2x 3x 101
799:17x 47
496:2x 2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 227191571904/(1x4)
LCM = 227191571904/4
LCM = 56797892976
Thus, we can understand that the LCM of 946,606,799,496 is 56797892976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 946, 606, 799, 496?
Answer: LCM of 946, 606, 799, 496 is 56797892976.
2. How to calculate the LCM of 946, 606, 799, 496?
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 946, 606, 799, 496.
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}.