LCM of 697, 256, 326, 330, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 256, 326, 330, 945 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 697, 256, 326, 330, 945. So, keep reading to learn more.
Given numbers are 697,256,326,330,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,256,326,330,945 is 302332504320.
Find LCM of 697,256,326,330,945 with Prime Factorization
| 2 | 697, 256, 326, 330, 945 |
| 3 | 697, 128, 163, 165, 945 |
| 5 | 697, 128, 163, 55, 315 |
| 697, 128, 163, 11, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 697 x 128 x 163 x 11 x 63 = 302332504320
Therefore, the lowest common multiple of 697,256,326,330,945 is 302332504320.
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.
697 x 256 x 326 x 330 x 945 = 18139950259200
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.
697 : 1, 17, 41, 697
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
326 : 1, 2, 163, 326
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,256,326,330,945, is 1.
Now, the common factors can be found like this.
697:17x 41
256:2x 2x 2x 2x 2x 2x 2x 2
326:2x 163
330:2x 3x 5x 11
945:3x 3x 3x 5x 7
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 18139950259200/(1x60)
LCM = 18139950259200/60
LCM = 302332504320
Thus, we can understand that the LCM of 697,256,326,330,945 is 302332504320.
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FAQs on LCM of 697, 256, 326, 330, 945
1. What is the LCM of 697, 256, 326, 330, 945?
Answer: LCM of 697, 256, 326, 330, 945 is 302332504320.
2. How to calculate the LCM of 697, 256, 326, 330, 945?
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 697, 256, 326, 330, 945.
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}.