LCM of 466, 926, 252, 466, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 466, 926, 252, 466, 824 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 466, 926, 252, 466, 824. So, keep reading to learn more.
Given numbers are 466,926,252,466,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,926,252,466,824 is 5600214648.
Find LCM of 466,926,252,466,824 with Prime Factorization
| 2 | 466, 926, 252, 466, 824 |
| 2 | 233, 463, 126, 233, 412 |
| 233 | 233, 463, 63, 233, 206 |
| 1, 463, 63, 1, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 233 x 1 x 463 x 63 x 1 x 206 = 5600214648
Therefore, the lowest common multiple of 466,926,252,466,824 is 5600214648.
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.
466 x 926 x 252 x 466 x 824 = 41755200415488
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.
466 : 1, 2, 233, 466
926 : 1, 2, 463, 926
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
466 : 1, 2, 233, 466
824 : 1, 2, 4, 8, 103, 206, 412, 824
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,926,252,466,824, is 2.
Now, the common factors can be found like this.
466:2x 233
926:2x 463
252:2x 2x 3x 3x 7
466:2x 233
824:2x 2x 2x 103
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 2x 233 = 3728
Therefore, the value for common factors is 3728.
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 = 41755200415488/(2x3728)
LCM = 41755200415488/7456
LCM = 5600214648
Thus, we can understand that the LCM of 466,926,252,466,824 is 5600214648.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 466, 926, 252, 466, 824
1. What is the LCM of 466, 926, 252, 466, 824?
Answer: LCM of 466, 926, 252, 466, 824 is 5600214648.
2. How to calculate the LCM of 466, 926, 252, 466, 824?
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 466, 926, 252, 466, 824.
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}.