LCM of 762, 808, 456, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 808, 456, 339 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 762, 808, 456, 339. So, keep reading to learn more.
Given numbers are 762,808,456,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,808,456,339 is 660949656.
Find LCM of 762,808,456,339 with Prime Factorization
| 2 | 762, 808, 456, 339 |
| 2 | 381, 404, 228, 339 |
| 2 | 381, 202, 114, 339 |
| 3 | 381, 101, 57, 339 |
| 127, 101, 19, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 127 x 101 x 19 x 113 = 660949656
Therefore, the lowest common multiple of 762,808,456,339 is 660949656.
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.
762 x 808 x 456 x 339 = 95176750464
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
808 : 1, 2, 4, 8, 101, 202, 404, 808
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,808,456,339, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
808:2x 2x 2x 101
456:2x 2x 2x 3x 19
339:3x 113
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 3 = 144
Therefore, the value for common factors is 144.
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 = 95176750464/(1x144)
LCM = 95176750464/144
LCM = 660949656
Thus, we can understand that the LCM of 762,808,456,339 is 660949656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 808, 456, 339
1. What is the LCM of 762, 808, 456, 339?
Answer: LCM of 762, 808, 456, 339 is 660949656.
2. How to calculate the LCM of 762, 808, 456, 339?
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 762, 808, 456, 339.
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}.