LCM of 114, 492, 393, 450, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 492, 393, 450, 774 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, 492, 393, 450, 774. So, keep reading to learn more.
Given numbers are 114,492,393,450,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,492,393,450,774 is 3949296300.
Find LCM of 114,492,393,450,774 with Prime Factorization
| 2 | 114, 492, 393, 450, 774 |
| 3 | 57, 246, 393, 225, 387 |
| 3 | 19, 82, 131, 75, 129 |
| 19, 82, 131, 25, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 82 x 131 x 25 x 43 = 3949296300
Therefore, the lowest common multiple of 114,492,393,450,774 is 3949296300.
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 492 x 393 x 450 x 774 = 7677432007200
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
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
393 : 1, 3, 131, 393
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,492,393,450,774, is 3.
Now, the common factors can be found like this.
114:2x 3x 19
492:2x 2x 3x 41
393:3x 131
450:2x 3x 3x 5x 5
774:2x 3x 3x 43
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 7677432007200/(3x648)
LCM = 7677432007200/1944
LCM = 3949296300
Thus, we can understand that the LCM of 114,492,393,450,774 is 3949296300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 114, 492, 393, 450, 774
1. What is the LCM of 114, 492, 393, 450, 774?
Answer: LCM of 114, 492, 393, 450, 774 is 3949296300.
2. How to calculate the LCM of 114, 492, 393, 450, 774?
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, 492, 393, 450, 774.
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}.