Find the LCM of 665, 982, 982, 112, 449 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 665, 982, 982, 112, 449. So, keep reading to learn more.
Given numbers are 665,982,982,112,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,982,982,112,449 is 2345683760.
Find LCM of 665,982,982,112,449 with Prime Factorization
2 | 665, 982, 982, 112, 449 |
7 | 665, 491, 491, 56, 449 |
491 | 95, 491, 491, 8, 449 |
95, 1, 1, 8, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 491 x 95 x 1 x 1 x 8 x 449 = 2345683760
Therefore, the lowest common multiple of 665,982,982,112,449 is 2345683760.
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.
665 x 982 x 982 x 112 x 449 = 32248460332480
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
982 : 1, 2, 491, 982
982 : 1, 2, 491, 982
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,982,982,112,449, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
982:2x 491
982:2x 491
112:2x 2x 2x 2x 7
449:449
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 7x 491 = 13748
Therefore, the value for common factors is 13748.
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 = 32248460332480/(1x13748)
LCM = 32248460332480/13748
LCM = 2345683760
Thus, we can understand that the LCM of 665,982,982,112,449 is 2345683760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 665, 982, 982, 112, 449?
Answer: LCM of 665, 982, 982, 112, 449 is 2345683760.
2. How to calculate the LCM of 665, 982, 982, 112, 449?
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 665, 982, 982, 112, 449.
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}.