LCM of 128, 973, 766, 330, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 128, 973, 766, 330, 302 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 128, 973, 766, 330, 302. So, keep reading to learn more.
Given numbers are 128,973,766,330,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,973,766,330,302 is 1188454270080.
Find LCM of 128,973,766,330,302 with Prime Factorization
| 2 | 128, 973, 766, 330, 302 |
| 64, 973, 383, 165, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 64 x 973 x 383 x 165 x 151 = 1188454270080
Therefore, the lowest common multiple of 128,973,766,330,302 is 1188454270080.
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.
128 x 973 x 766 x 330 x 302 = 9507634160640
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
973 : 1, 7, 139, 973
766 : 1, 2, 383, 766
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,973,766,330,302, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
973:7x 139
766:2x 383
330:2x 3x 5x 11
302:2x 151
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 2 = 8
Therefore, the value for common factors is 8.
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 = 9507634160640/(1x8)
LCM = 9507634160640/8
LCM = 1188454270080
Thus, we can understand that the LCM of 128,973,766,330,302 is 1188454270080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 128, 973, 766, 330, 302
1. What is the LCM of 128, 973, 766, 330, 302?
Answer: LCM of 128, 973, 766, 330, 302 is 1188454270080.
2. How to calculate the LCM of 128, 973, 766, 330, 302?
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 128, 973, 766, 330, 302.
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}.