Find the LCM of 232, 655, 524, 736, 194 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 232, 655, 524, 736, 194. So, keep reading to learn more.
Given numbers are 232,655,524,736,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,655,524,736,194 is 1356091040.
Find LCM of 232,655,524,736,194 with Prime Factorization
2 | 232, 655, 524, 736, 194 |
2 | 116, 655, 262, 368, 97 |
2 | 58, 655, 131, 184, 97 |
131 | 29, 655, 131, 92, 97 |
29, 5, 1, 92, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 131 x 29 x 5 x 1 x 92 x 97 = 1356091040
Therefore, the lowest common multiple of 232,655,524,736,194 is 1356091040.
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.
232 x 655 x 524 x 736 x 194 = 11369467279360
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
655 : 1, 5, 131, 655
524 : 1, 2, 4, 131, 262, 524
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
194 : 1, 2, 97, 194
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,655,524,736,194, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
655:5x 131
524:2x 2x 131
736:2x 2x 2x 2x 2x 23
194:2x 97
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 2x 2x 131 = 8384
Therefore, the value for common factors is 8384.
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 = 11369467279360/(1x8384)
LCM = 11369467279360/8384
LCM = 1356091040
Thus, we can understand that the LCM of 232,655,524,736,194 is 1356091040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 232, 655, 524, 736, 194?
Answer: LCM of 232, 655, 524, 736, 194 is 1356091040.
2. How to calculate the LCM of 232, 655, 524, 736, 194?
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 232, 655, 524, 736, 194.
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}.