LCM of 414, 968, 682, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 968, 682, 308 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 414, 968, 682, 308. So, keep reading to learn more.
Given numbers are 414,968,682,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,968,682,308 is 43481592.
Find LCM of 414,968,682,308 with Prime Factorization
| 2 | 414, 968, 682, 308 |
| 2 | 207, 484, 341, 154 |
| 11 | 207, 242, 341, 77 |
| 207, 22, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 207 x 22 x 31 x 7 = 43481592
Therefore, the lowest common multiple of 414,968,682,308 is 43481592.
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.
414 x 968 x 682 x 308 = 84180362112
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
682 : 1, 2, 11, 22, 31, 62, 341, 682
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,968,682,308, is 2.
Now, the common factors can be found like this.
414:2x 3x 3x 23
968:2x 2x 2x 11x 11
682:2x 11x 31
308:2x 2x 7x 11
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 84180362112/(2x968)
LCM = 84180362112/1936
LCM = 43481592
Thus, we can understand that the LCM of 414,968,682,308 is 43481592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 414, 968, 682, 308
1. What is the LCM of 414, 968, 682, 308?
Answer: LCM of 414, 968, 682, 308 is 43481592.
2. How to calculate the LCM of 414, 968, 682, 308?
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 414, 968, 682, 308.
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}.