LCM of 964, 649, 983, 659, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 649, 983, 659, 990 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, 649, 983, 659, 990. So, keep reading to learn more.
Given numbers are 964,649,983,659,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,649,983,659,990 is 18237830575140.
Find LCM of 964,649,983,659,990 with Prime Factorization
| 2 | 964, 649, 983, 659, 990 |
| 11 | 482, 649, 983, 659, 495 |
| 482, 59, 983, 659, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 482 x 59 x 983 x 659 x 45 = 18237830575140
Therefore, the lowest common multiple of 964,649,983,659,990 is 18237830575140.
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 649 x 983 x 659 x 990 = 401232272653080
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
649 : 1, 11, 59, 649
983 : 1, 983
659 : 1, 659
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,649,983,659,990, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
649:11x 59
983:983
659:659
990:2x 3x 3x 5x 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 11 = 22
Therefore, the value for common factors is 22.
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 = 401232272653080/(1x22)
LCM = 401232272653080/22
LCM = 18237830575140
Thus, we can understand that the LCM of 964,649,983,659,990 is 18237830575140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 649, 983, 659, 990
1. What is the LCM of 964, 649, 983, 659, 990?
Answer: LCM of 964, 649, 983, 659, 990 is 18237830575140.
2. How to calculate the LCM of 964, 649, 983, 659, 990?
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, 649, 983, 659, 990.
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}.