Find the LCM of 531, 848, 596, 596 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 531, 848, 596, 596. So, keep reading to learn more.
Given numbers are 531,848,596,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,848,596,596 is 67092912.
Find LCM of 531,848,596,596 with Prime Factorization
2 | 531, 848, 596, 596 |
2 | 531, 424, 298, 298 |
149 | 531, 212, 149, 149 |
531, 212, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 149 x 531 x 212 x 1 x 1 = 67092912
Therefore, the lowest common multiple of 531,848,596,596 is 67092912.
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.
531 x 848 x 596 x 596 = 159949502208
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.
531 : 1, 3, 9, 59, 177, 531
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
596 : 1, 2, 4, 149, 298, 596
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,848,596,596, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
848:2x 2x 2x 2x 53
596:2x 2x 149
596:2x 2x 149
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 2x 2x 149 = 2384
Therefore, the value for common factors is 2384.
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 = 159949502208/(1x2384)
LCM = 159949502208/2384
LCM = 67092912
Thus, we can understand that the LCM of 531,848,596,596 is 67092912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 848, 596, 596?
Answer: LCM of 531, 848, 596, 596 is 67092912.
2. How to calculate the LCM of 531, 848, 596, 596?
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 531, 848, 596, 596.
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}.