Find the LCM of 463, 508, 497, 635 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, 508, 497, 635. So, keep reading to learn more.
Given numbers are 463,508,497,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,508,497,635 is 584481940.
Find LCM of 463,508,497,635 with Prime Factorization
127 | 463, 508, 497, 635 |
463, 4, 497, 5 |
Multiply the prime numbers at the bottom and the left side.
127 x 463 x 4 x 497 x 5 = 584481940
Therefore, the lowest common multiple of 463,508,497,635 is 584481940.
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 508 x 497 x 635 = 74229206380
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
508 : 1, 2, 4, 127, 254, 508
497 : 1, 7, 71, 497
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,508,497,635, is 1.
Now, the common factors can be found like this.
463:463
508:2x 2x 127
497:7x 71
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
127 = 127
Therefore, the value for common factors is 127.
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 = 74229206380/(1x127)
LCM = 74229206380/127
LCM = 584481940
Thus, we can understand that the LCM of 463,508,497,635 is 584481940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 508, 497, 635?
Answer: LCM of 463, 508, 497, 635 is 584481940.
2. How to calculate the LCM of 463, 508, 497, 635?
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, 508, 497, 635.
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}.