Find the LCM of 596, 652, 918, 538, 789 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 596, 652, 918, 538, 789. So, keep reading to learn more.
Given numbers are 596,652,918,538,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,652,918,538,789 is 3154674666204.
Find LCM of 596,652,918,538,789 with Prime Factorization
2 | 596, 652, 918, 538, 789 |
2 | 298, 326, 459, 269, 789 |
3 | 149, 163, 459, 269, 789 |
149, 163, 153, 269, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 149 x 163 x 153 x 269 x 263 = 3154674666204
Therefore, the lowest common multiple of 596,652,918,538,789 is 3154674666204.
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.
596 x 652 x 918 x 538 x 789 = 151424383977792
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.
596 : 1, 2, 4, 149, 298, 596
652 : 1, 2, 4, 163, 326, 652
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
538 : 1, 2, 269, 538
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,652,918,538,789, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
652:2x 2x 163
918:2x 3x 3x 3x 17
538:2x 269
789:3x 263
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 3 = 48
Therefore, the value for common factors is 48.
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 = 151424383977792/(1x48)
LCM = 151424383977792/48
LCM = 3154674666204
Thus, we can understand that the LCM of 596,652,918,538,789 is 3154674666204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 652, 918, 538, 789?
Answer: LCM of 596, 652, 918, 538, 789 is 3154674666204.
2. How to calculate the LCM of 596, 652, 918, 538, 789?
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 596, 652, 918, 538, 789.
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}.