Find the LCM of 101, 284, 994, 648, 909 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 101, 284, 994, 648, 909. So, keep reading to learn more.
Given numbers are 101,284,994,648,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,284,994,648,909 is 32527656.
Find LCM of 101,284,994,648,909 with Prime Factorization
2 | 101, 284, 994, 648, 909 |
2 | 101, 142, 497, 324, 909 |
3 | 101, 71, 497, 162, 909 |
3 | 101, 71, 497, 54, 303 |
71 | 101, 71, 497, 18, 101 |
101 | 101, 1, 7, 18, 101 |
1, 1, 7, 18, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 71 x 101 x 1 x 1 x 7 x 18 x 1 = 32527656
Therefore, the lowest common multiple of 101,284,994,648,909 is 32527656.
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.
101 x 284 x 994 x 648 x 909 = 16794419124672
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.
101 : 1, 101
284 : 1, 2, 4, 71, 142, 284
994 : 1, 2, 7, 14, 71, 142, 497, 994
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,284,994,648,909, is 1.
Now, the common factors can be found like this.
101:101
284:2x 2x 71
994:2x 7x 71
648:2x 2x 2x 3x 3x 3x 3
909:3x 3x 101
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 3x 3x 71x 101 = 516312
Therefore, the value for common factors is 516312.
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 = 16794419124672/(1x516312)
LCM = 16794419124672/516312
LCM = 32527656
Thus, we can understand that the LCM of 101,284,994,648,909 is 32527656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 284, 994, 648, 909?
Answer: LCM of 101, 284, 994, 648, 909 is 32527656.
2. How to calculate the LCM of 101, 284, 994, 648, 909?
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 101, 284, 994, 648, 909.
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}.