Find the LCM of 737, 195, 450, 880, 522 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 737, 195, 450, 880, 522. So, keep reading to learn more.
Given numbers are 737,195,450,880,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,195,450,880,522 is 1000256400.
Find LCM of 737,195,450,880,522 with Prime Factorization
2 | 737, 195, 450, 880, 522 |
3 | 737, 195, 225, 440, 261 |
3 | 737, 65, 75, 440, 87 |
5 | 737, 65, 25, 440, 29 |
11 | 737, 13, 5, 88, 29 |
67, 13, 5, 8, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 67 x 13 x 5 x 8 x 29 = 1000256400
Therefore, the lowest common multiple of 737,195,450,880,522 is 1000256400.
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.
737 x 195 x 450 x 880 x 522 = 29707615080000
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.
737 : 1, 11, 67, 737
195 : 1, 3, 5, 13, 15, 39, 65, 195
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,195,450,880,522, is 1.
Now, the common factors can be found like this.
737:11x 67
195:3x 5x 13
450:2x 3x 3x 5x 5
880:2x 2x 2x 2x 5x 11
522:2x 3x 3x 29
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 3x 3x 3x 5x 5x 11 = 29700
Therefore, the value for common factors is 29700.
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 = 29707615080000/(1x29700)
LCM = 29707615080000/29700
LCM = 1000256400
Thus, we can understand that the LCM of 737,195,450,880,522 is 1000256400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 195, 450, 880, 522?
Answer: LCM of 737, 195, 450, 880, 522 is 1000256400.
2. How to calculate the LCM of 737, 195, 450, 880, 522?
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 737, 195, 450, 880, 522.
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}.