Find the LCM of 911, 435, 568, 748, 964 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 911, 435, 568, 748, 964. So, keep reading to learn more.
Given numbers are 911,435,568,748,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,435,568,748,964 is 10144125621960.
Find LCM of 911,435,568,748,964 with Prime Factorization
2 | 911, 435, 568, 748, 964 |
2 | 911, 435, 284, 374, 482 |
911, 435, 142, 187, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 911 x 435 x 142 x 187 x 241 = 10144125621960
Therefore, the lowest common multiple of 911,435,568,748,964 is 10144125621960.
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.
911 x 435 x 568 x 748 x 964 = 162306009951360
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.
911 : 1, 911
435 : 1, 3, 5, 15, 29, 87, 145, 435
568 : 1, 2, 4, 8, 71, 142, 284, 568
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,435,568,748,964, is 1.
Now, the common factors can be found like this.
911:911
435:3x 5x 29
568:2x 2x 2x 71
748:2x 2x 11x 17
964:2x 2x 241
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 2 = 16
Therefore, the value for common factors is 16.
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 = 162306009951360/(1x16)
LCM = 162306009951360/16
LCM = 10144125621960
Thus, we can understand that the LCM of 911,435,568,748,964 is 10144125621960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 911, 435, 568, 748, 964?
Answer: LCM of 911, 435, 568, 748, 964 is 10144125621960.
2. How to calculate the LCM of 911, 435, 568, 748, 964?
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 911, 435, 568, 748, 964.
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}.