Find the LCM of 461, 377, 477, 537, 568 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 461, 377, 477, 537, 568. So, keep reading to learn more.
Given numbers are 461,377,477,537,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,377,477,537,568 is 8428727654568.
Find LCM of 461,377,477,537,568 with Prime Factorization
3 | 461, 377, 477, 537, 568 |
461, 377, 159, 179, 568 |
Multiply the prime numbers at the bottom and the left side.
3 x 461 x 377 x 159 x 179 x 568 = 8428727654568
Therefore, the lowest common multiple of 461,377,477,537,568 is 8428727654568.
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.
461 x 377 x 477 x 537 x 568 = 25286182963704
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.
461 : 1, 461
377 : 1, 13, 29, 377
477 : 1, 3, 9, 53, 159, 477
537 : 1, 3, 179, 537
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,377,477,537,568, is 1.
Now, the common factors can be found like this.
461:461
377:13x 29
477:3x 3x 53
537:3x 179
568:2x 2x 2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 25286182963704/(1x3)
LCM = 25286182963704/3
LCM = 8428727654568
Thus, we can understand that the LCM of 461,377,477,537,568 is 8428727654568.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 461, 377, 477, 537, 568?
Answer: LCM of 461, 377, 477, 537, 568 is 8428727654568.
2. How to calculate the LCM of 461, 377, 477, 537, 568?
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 461, 377, 477, 537, 568.
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}.