LCM of 909, 510, 935, 776, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 510, 935, 776, 842 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 909, 510, 935, 776, 842. So, keep reading to learn more.
Given numbers are 909,510,935,776,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,510,935,776,842 is 277663830840.
Find LCM of 909,510,935,776,842 with Prime Factorization
| 2 | 909, 510, 935, 776, 842 |
| 3 | 909, 255, 935, 388, 421 |
| 5 | 303, 85, 935, 388, 421 |
| 17 | 303, 17, 187, 388, 421 |
| 303, 1, 11, 388, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 303 x 1 x 11 x 388 x 421 = 277663830840
Therefore, the lowest common multiple of 909,510,935,776,842 is 277663830840.
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.
909 x 510 x 935 x 776 x 842 = 283217107456800
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.
909 : 1, 3, 9, 101, 303, 909
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
935 : 1, 5, 11, 17, 55, 85, 187, 935
776 : 1, 2, 4, 8, 97, 194, 388, 776
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,510,935,776,842, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
510:2x 3x 5x 17
935:5x 11x 17
776:2x 2x 2x 97
842:2x 421
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 3x 5x 17 = 1020
Therefore, the value for common factors is 1020.
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 = 283217107456800/(1x1020)
LCM = 283217107456800/1020
LCM = 277663830840
Thus, we can understand that the LCM of 909,510,935,776,842 is 277663830840.
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FAQs on LCM of 909, 510, 935, 776, 842
1. What is the LCM of 909, 510, 935, 776, 842?
Answer: LCM of 909, 510, 935, 776, 842 is 277663830840.
2. How to calculate the LCM of 909, 510, 935, 776, 842?
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 909, 510, 935, 776, 842.
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}.