LCM of 114, 102, 306, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 102, 306, 494 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 114, 102, 306, 494. So, keep reading to learn more.
Given numbers are 114,102,306,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,102,306,494 is 75582.
Find LCM of 114,102,306,494 with Prime Factorization
| 2 | 114, 102, 306, 494 |
| 3 | 57, 51, 153, 247 |
| 17 | 19, 17, 51, 247 |
| 19 | 19, 1, 3, 247 |
| 1, 1, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 1 x 1 x 3 x 13 = 75582
Therefore, the lowest common multiple of 114,102,306,494 is 75582.
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.
114 x 102 x 306 x 494 = 1757734992
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
102 : 1, 2, 3, 6, 17, 34, 51, 102
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
494 : 1, 2, 13, 19, 26, 38, 247, 494
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,102,306,494, is 2.
Now, the common factors can be found like this.
114:2x 3x 19
102:2x 3x 17
306:2x 3x 3x 17
494:2x 13x 19
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 3x 17x 19 = 11628
Therefore, the value for common factors is 11628.
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 = 1757734992/(2x11628)
LCM = 1757734992/23256
LCM = 75582
Thus, we can understand that the LCM of 114,102,306,494 is 75582.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 102, 306, 494
1. What is the LCM of 114, 102, 306, 494?
Answer: LCM of 114, 102, 306, 494 is 75582.
2. How to calculate the LCM of 114, 102, 306, 494?
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 114, 102, 306, 494.
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}.