LCM of 492, 461, 416, 286, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 461, 416, 286, 253 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 492, 461, 416, 286, 253. So, keep reading to learn more.
Given numbers are 492,461,416,286,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,461,416,286,253 is 5967877344.
Find LCM of 492,461,416,286,253 with Prime Factorization
| 2 | 492, 461, 416, 286, 253 |
| 2 | 246, 461, 208, 143, 253 |
| 11 | 123, 461, 104, 143, 253 |
| 13 | 123, 461, 104, 13, 23 |
| 123, 461, 8, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 123 x 461 x 8 x 1 x 23 = 5967877344
Therefore, the lowest common multiple of 492,461,416,286,253 is 5967877344.
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.
492 x 461 x 416 x 286 x 253 = 6827251681536
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
461 : 1, 461
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
286 : 1, 2, 11, 13, 22, 26, 143, 286
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,461,416,286,253, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
461:461
416:2x 2x 2x 2x 2x 13
286:2x 11x 13
253:11x 23
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 13 = 1144
Therefore, the value for common factors is 1144.
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 = 6827251681536/(1x1144)
LCM = 6827251681536/1144
LCM = 5967877344
Thus, we can understand that the LCM of 492,461,416,286,253 is 5967877344.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 492, 461, 416, 286, 253
1. What is the LCM of 492, 461, 416, 286, 253?
Answer: LCM of 492, 461, 416, 286, 253 is 5967877344.
2. How to calculate the LCM of 492, 461, 416, 286, 253?
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 492, 461, 416, 286, 253.
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}.