LCM of 385, 842, 108, 762, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 842, 108, 762, 776 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 385, 842, 108, 762, 776. So, keep reading to learn more.
Given numbers are 385,842,108,762,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,842,108,762,776 is 431292624840.
Find LCM of 385,842,108,762,776 with Prime Factorization
| 2 | 385, 842, 108, 762, 776 |
| 2 | 385, 421, 54, 381, 388 |
| 3 | 385, 421, 27, 381, 194 |
| 385, 421, 9, 127, 194 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 385 x 421 x 9 x 127 x 194 = 431292624840
Therefore, the lowest common multiple of 385,842,108,762,776 is 431292624840.
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.
385 x 842 x 108 x 762 x 776 = 20702045992320
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
842 : 1, 2, 421, 842
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
762 : 1, 2, 3, 6, 127, 254, 381, 762
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,842,108,762,776, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
842:2x 421
108:2x 2x 3x 3x 3
762:2x 3x 127
776:2x 2x 2x 97
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 3 = 48
Therefore, the value for common factors is 48.
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 = 20702045992320/(1x48)
LCM = 20702045992320/48
LCM = 431292624840
Thus, we can understand that the LCM of 385,842,108,762,776 is 431292624840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 385, 842, 108, 762, 776
1. What is the LCM of 385, 842, 108, 762, 776?
Answer: LCM of 385, 842, 108, 762, 776 is 431292624840.
2. How to calculate the LCM of 385, 842, 108, 762, 776?
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 385, 842, 108, 762, 776.
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}.