LCM of 216, 494, 754, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 494, 754, 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 216, 494, 754, 308. So, keep reading to learn more.
Given numbers are 216,494,754,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,494,754,308 is 119135016.
Find LCM of 216,494,754,308 with Prime Factorization
| 2 | 216, 494, 754, 308 |
| 2 | 108, 247, 377, 154 |
| 13 | 54, 247, 377, 77 |
| 54, 19, 29, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 54 x 19 x 29 x 77 = 119135016
Therefore, the lowest common multiple of 216,494,754,308 is 119135016.
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.
216 x 494 x 754 x 308 = 24780083328
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
494 : 1, 2, 13, 19, 26, 38, 247, 494
754 : 1, 2, 13, 26, 29, 58, 377, 754
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 216,494,754,308, is 2.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
494:2x 13x 19
754:2x 13x 29
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 13 = 104
Therefore, the value for common factors is 104.
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 = 24780083328/(2x104)
LCM = 24780083328/208
LCM = 119135016
Thus, we can understand that the LCM of 216,494,754,308 is 119135016.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 216, 494, 754, 308
1. What is the LCM of 216, 494, 754, 308?
Answer: LCM of 216, 494, 754, 308 is 119135016.
2. How to calculate the LCM of 216, 494, 754, 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 216, 494, 754, 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}.