LCM of 332, 784, 714, 954, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 784, 714, 954, 385 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 332, 784, 714, 954, 385. So, keep reading to learn more.
Given numbers are 332,784,714,954,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,784,714,954,385 is 29021786640.
Find LCM of 332,784,714,954,385 with Prime Factorization
| 2 | 332, 784, 714, 954, 385 |
| 2 | 166, 392, 357, 477, 385 |
| 3 | 83, 196, 357, 477, 385 |
| 7 | 83, 196, 119, 159, 385 |
| 83, 28, 17, 159, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 83 x 28 x 17 x 159 x 55 = 29021786640
Therefore, the lowest common multiple of 332,784,714,954,385 is 29021786640.
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.
332 x 784 x 714 x 954 x 385 = 68259242177280
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.
332 : 1, 2, 4, 83, 166, 332
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,784,714,954,385, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
784:2x 2x 2x 2x 7x 7
714:2x 3x 7x 17
954:2x 3x 3x 53
385:5x 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 2x 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 68259242177280/(1x2352)
LCM = 68259242177280/2352
LCM = 29021786640
Thus, we can understand that the LCM of 332,784,714,954,385 is 29021786640.
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FAQs on LCM of 332, 784, 714, 954, 385
1. What is the LCM of 332, 784, 714, 954, 385?
Answer: LCM of 332, 784, 714, 954, 385 is 29021786640.
2. How to calculate the LCM of 332, 784, 714, 954, 385?
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 332, 784, 714, 954, 385.
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}.