LCM of 230, 496, 418, 757, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 496, 418, 757, 522 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 230, 496, 418, 757, 522. So, keep reading to learn more.
Given numbers are 230,496,418,757,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,496,418,757,522 is 2355386544720.
Find LCM of 230,496,418,757,522 with Prime Factorization
| 2 | 230, 496, 418, 757, 522 |
| 115, 248, 209, 757, 261 |
Multiply the prime numbers at the bottom and the left side.
2 x 115 x 248 x 209 x 757 x 261 = 2355386544720
Therefore, the lowest common multiple of 230,496,418,757,522 is 2355386544720.
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.
230 x 496 x 418 x 757 x 522 = 18843092357760
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
418 : 1, 2, 11, 19, 22, 38, 209, 418
757 : 1, 757
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,496,418,757,522, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
496:2x 2x 2x 2x 31
418:2x 11x 19
757:757
522:2x 3x 3x 29
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 2 = 8
Therefore, the value for common factors is 8.
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 = 18843092357760/(1x8)
LCM = 18843092357760/8
LCM = 2355386544720
Thus, we can understand that the LCM of 230,496,418,757,522 is 2355386544720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 230, 496, 418, 757, 522
1. What is the LCM of 230, 496, 418, 757, 522?
Answer: LCM of 230, 496, 418, 757, 522 is 2355386544720.
2. How to calculate the LCM of 230, 496, 418, 757, 522?
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 230, 496, 418, 757, 522.
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}.