Find the LCM of 513, 893, 633, 616, 591 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 513, 893, 633, 616, 591. So, keep reading to learn more.
Given numbers are 513,893,633,616,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,893,633,616,591 is 617368713192.
Find LCM of 513,893,633,616,591 with Prime Factorization
3 | 513, 893, 633, 616, 591 |
19 | 171, 893, 211, 616, 197 |
9, 47, 211, 616, 197 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 9 x 47 x 211 x 616 x 197 = 617368713192
Therefore, the lowest common multiple of 513,893,633,616,591 is 617368713192.
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.
513 x 893 x 633 x 616 x 591 = 105570049955832
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
893 : 1, 19, 47, 893
633 : 1, 3, 211, 633
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,893,633,616,591, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
893:19x 47
633:3x 211
616:2x 2x 2x 7x 11
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19 = 171
Therefore, the value for common factors is 171.
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 = 105570049955832/(1x171)
LCM = 105570049955832/171
LCM = 617368713192
Thus, we can understand that the LCM of 513,893,633,616,591 is 617368713192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 893, 633, 616, 591?
Answer: LCM of 513, 893, 633, 616, 591 is 617368713192.
2. How to calculate the LCM of 513, 893, 633, 616, 591?
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 513, 893, 633, 616, 591.
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}.