Find the LCM of 737, 505, 717, 385, 101 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, 505, 717, 385, 101. So, keep reading to learn more.
Given numbers are 737,505,717,385,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,505,717,385,101 is 1867996515.
Find LCM of 737,505,717,385,101 with Prime Factorization
5 | 737, 505, 717, 385, 101 |
11 | 737, 101, 717, 77, 101 |
101 | 67, 101, 717, 7, 101 |
67, 1, 717, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 101 x 67 x 1 x 717 x 7 x 1 = 1867996515
Therefore, the lowest common multiple of 737,505,717,385,101 is 1867996515.
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 505 x 717 x 385 x 101 = 10376720640825
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
505 : 1, 5, 101, 505
717 : 1, 3, 239, 717
385 : 1, 5, 7, 11, 35, 55, 77, 385
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,505,717,385,101, is 1.
Now, the common factors can be found like this.
737:11x 67
505:5x 101
717:3x 239
385:5x 7x 11
101:101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 101 = 5555
Therefore, the value for common factors is 5555.
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 = 10376720640825/(1x5555)
LCM = 10376720640825/5555
LCM = 1867996515
Thus, we can understand that the LCM of 737,505,717,385,101 is 1867996515.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 505, 717, 385, 101?
Answer: LCM of 737, 505, 717, 385, 101 is 1867996515.
2. How to calculate the LCM of 737, 505, 717, 385, 101?
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, 505, 717, 385, 101.
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}.