LCM of 463, 627, 424, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 627, 424, 396 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 463, 627, 424, 396. So, keep reading to learn more.
Given numbers are 463,627,424,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,627,424,396 is 369262872.
Find LCM of 463,627,424,396 with Prime Factorization
| 2 | 463, 627, 424, 396 |
| 2 | 463, 627, 212, 198 |
| 3 | 463, 627, 106, 99 |
| 11 | 463, 209, 106, 33 |
| 463, 19, 106, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 463 x 19 x 106 x 3 = 369262872
Therefore, the lowest common multiple of 463,627,424,396 is 369262872.
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.
463 x 627 x 424 x 396 = 48742699104
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.
463 : 1, 463
627 : 1, 3, 11, 19, 33, 57, 209, 627
424 : 1, 2, 4, 8, 53, 106, 212, 424
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,627,424,396, is 1.
Now, the common factors can be found like this.
463:463
627:3x 11x 19
424:2x 2x 2x 53
396:2x 2x 3x 3x 11
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 11 = 132
Therefore, the value for common factors is 132.
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 = 48742699104/(1x132)
LCM = 48742699104/132
LCM = 369262872
Thus, we can understand that the LCM of 463,627,424,396 is 369262872.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 627, 424, 396
1. What is the LCM of 463, 627, 424, 396?
Answer: LCM of 463, 627, 424, 396 is 369262872.
2. How to calculate the LCM of 463, 627, 424, 396?
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 463, 627, 424, 396.
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}.