Find the LCM of 533, 588, 591, 197, 931 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 533, 588, 591, 197, 931. So, keep reading to learn more.
Given numbers are 533,588,591,197,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,588,591,197,931 is 1173071172.
Find LCM of 533,588,591,197,931 with Prime Factorization
3 | 533, 588, 591, 197, 931 |
7 | 533, 196, 197, 197, 931 |
7 | 533, 28, 197, 197, 133 |
197 | 533, 4, 197, 197, 19 |
533, 4, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 7 x 197 x 533 x 4 x 1 x 1 x 19 = 1173071172
Therefore, the lowest common multiple of 533,588,591,197,931 is 1173071172.
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.
533 x 588 x 591 x 197 x 931 = 33970968069948
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.
533 : 1, 13, 41, 533
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
591 : 1, 3, 197, 591
197 : 1, 197
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,588,591,197,931, is 1.
Now, the common factors can be found like this.
533:13x 41
588:2x 2x 3x 7x 7
591:3x 197
197:197
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 197 = 28959
Therefore, the value for common factors is 28959.
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 = 33970968069948/(1x28959)
LCM = 33970968069948/28959
LCM = 1173071172
Thus, we can understand that the LCM of 533,588,591,197,931 is 1173071172.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 533, 588, 591, 197, 931?
Answer: LCM of 533, 588, 591, 197, 931 is 1173071172.
2. How to calculate the LCM of 533, 588, 591, 197, 931?
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 533, 588, 591, 197, 931.
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}.