LCM of 332, 808, 808, 875, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 808, 808, 875, 120 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, 808, 808, 875, 120. So, keep reading to learn more.
Given numbers are 332,808,808,875,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,808,808,875,120 is 176043000.
Find LCM of 332,808,808,875,120 with Prime Factorization
| 2 | 332, 808, 808, 875, 120 |
| 2 | 166, 404, 404, 875, 60 |
| 2 | 83, 202, 202, 875, 30 |
| 5 | 83, 101, 101, 875, 15 |
| 101 | 83, 101, 101, 175, 3 |
| 83, 1, 1, 175, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 101 x 83 x 1 x 1 x 175 x 3 = 176043000
Therefore, the lowest common multiple of 332,808,808,875,120 is 176043000.
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 808 x 808 x 875 x 120 = 22758839040000
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
808 : 1, 2, 4, 8, 101, 202, 404, 808
808 : 1, 2, 4, 8, 101, 202, 404, 808
875 : 1, 5, 7, 25, 35, 125, 175, 875
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,808,808,875,120, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
808:2x 2x 2x 101
808:2x 2x 2x 101
875:5x 5x 5x 7
120:2x 2x 2x 3x 5
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 2x 2x 2x 2x 5x 101 = 129280
Therefore, the value for common factors is 129280.
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 = 22758839040000/(1x129280)
LCM = 22758839040000/129280
LCM = 176043000
Thus, we can understand that the LCM of 332,808,808,875,120 is 176043000.
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FAQs on LCM of 332, 808, 808, 875, 120
1. What is the LCM of 332, 808, 808, 875, 120?
Answer: LCM of 332, 808, 808, 875, 120 is 176043000.
2. How to calculate the LCM of 332, 808, 808, 875, 120?
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, 808, 808, 875, 120.
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}.