Find the LCM of 964, 414, 748, 617, 231 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 964, 414, 748, 617, 231. So, keep reading to learn more.
Given numbers are 964,414,748,617,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,414,748,617,231 is 161165540844.
Find LCM of 964,414,748,617,231 with Prime Factorization
2 | 964, 414, 748, 617, 231 |
2 | 482, 207, 374, 617, 231 |
3 | 241, 207, 187, 617, 231 |
11 | 241, 69, 187, 617, 77 |
241, 69, 17, 617, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 241 x 69 x 17 x 617 x 7 = 161165540844
Therefore, the lowest common multiple of 964,414,748,617,231 is 161165540844.
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.
964 x 414 x 748 x 617 x 231 = 42547702782816
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.
964 : 1, 2, 4, 241, 482, 964
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
617 : 1, 617
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,414,748,617,231, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
414:2x 3x 3x 23
748:2x 2x 11x 17
617:617
231:3x 7x 11
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 11 = 264
Therefore, the value for common factors is 264.
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 = 42547702782816/(1x264)
LCM = 42547702782816/264
LCM = 161165540844
Thus, we can understand that the LCM of 964,414,748,617,231 is 161165540844.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 414, 748, 617, 231?
Answer: LCM of 964, 414, 748, 617, 231 is 161165540844.
2. How to calculate the LCM of 964, 414, 748, 617, 231?
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 964, 414, 748, 617, 231.
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}.