LCM of 678, 736, 385, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 736, 385, 917 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 678, 736, 385, 917. So, keep reading to learn more.
Given numbers are 678,736,385,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,736,385,917 is 12583734240.
Find LCM of 678,736,385,917 with Prime Factorization
| 2 | 678, 736, 385, 917 |
| 7 | 339, 368, 385, 917 |
| 339, 368, 55, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 339 x 368 x 55 x 131 = 12583734240
Therefore, the lowest common multiple of 678,736,385,917 is 12583734240.
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.
678 x 736 x 385 x 917 = 176172279360
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
385 : 1, 5, 7, 11, 35, 55, 77, 385
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,736,385,917, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
736:2x 2x 2x 2x 2x 23
385:5x 7x 11
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 176172279360/(1x14)
LCM = 176172279360/14
LCM = 12583734240
Thus, we can understand that the LCM of 678,736,385,917 is 12583734240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 678, 736, 385, 917
1. What is the LCM of 678, 736, 385, 917?
Answer: LCM of 678, 736, 385, 917 is 12583734240.
2. How to calculate the LCM of 678, 736, 385, 917?
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 678, 736, 385, 917.
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}.