LCM of 964, 660, 247, 836, 443
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 660, 247, 836, 443 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, 660, 247, 836, 443. So, keep reading to learn more.
Given numbers are 964,660,247,836,443
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,660,247,836,443 is 17404504260.
Find LCM of 964,660,247,836,443 with Prime Factorization
| 2 | 964, 660, 247, 836, 443 |
| 2 | 482, 330, 247, 418, 443 |
| 11 | 241, 165, 247, 209, 443 |
| 19 | 241, 15, 247, 19, 443 |
| 241, 15, 13, 1, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 241 x 15 x 13 x 1 x 443 = 17404504260
Therefore, the lowest common multiple of 964,660,247,836,443 is 17404504260.
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 660 x 247 x 836 x 443 = 58200662245440
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
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
247 : 1, 13, 19, 247
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
443 : 1, 443
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,660,247,836,443, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
660:2x 2x 3x 5x 11
247:13x 19
836:2x 2x 11x 19
443:443
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 2x 11x 19 = 3344
Therefore, the value for common factors is 3344.
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 = 58200662245440/(1x3344)
LCM = 58200662245440/3344
LCM = 17404504260
Thus, we can understand that the LCM of 964,660,247,836,443 is 17404504260.
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FAQs on LCM of 964, 660, 247, 836, 443
1. What is the LCM of 964, 660, 247, 836, 443?
Answer: LCM of 964, 660, 247, 836, 443 is 17404504260.
2. How to calculate the LCM of 964, 660, 247, 836, 443?
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, 660, 247, 836, 443.
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}.