LCM of 935, 984, 136, 387, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 984, 136, 387, 548 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 935, 984, 136, 387, 548. So, keep reading to learn more.
Given numbers are 935,984,136,387,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,984,136,387,548 is 16259866920.
Find LCM of 935,984,136,387,548 with Prime Factorization
| 2 | 935, 984, 136, 387, 548 |
| 2 | 935, 492, 68, 387, 274 |
| 2 | 935, 246, 34, 387, 137 |
| 3 | 935, 123, 17, 387, 137 |
| 17 | 935, 41, 17, 129, 137 |
| 55, 41, 1, 129, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 55 x 41 x 1 x 129 x 137 = 16259866920
Therefore, the lowest common multiple of 935,984,136,387,548 is 16259866920.
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.
935 x 984 x 136 x 387 x 548 = 26536102813440
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
136 : 1, 2, 4, 8, 17, 34, 68, 136
387 : 1, 3, 9, 43, 129, 387
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,984,136,387,548, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
984:2x 2x 2x 3x 41
136:2x 2x 2x 17
387:3x 3x 43
548:2x 2x 137
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 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 26536102813440/(1x1632)
LCM = 26536102813440/1632
LCM = 16259866920
Thus, we can understand that the LCM of 935,984,136,387,548 is 16259866920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 935, 984, 136, 387, 548
1. What is the LCM of 935, 984, 136, 387, 548?
Answer: LCM of 935, 984, 136, 387, 548 is 16259866920.
2. How to calculate the LCM of 935, 984, 136, 387, 548?
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 935, 984, 136, 387, 548.
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}.