Find the LCM of 307, 200, 416, 708, 757 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 307, 200, 416, 708, 757. So, keep reading to learn more.
Given numbers are 307,200,416,708,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,200,416,708,757 is 427800079200.
Find LCM of 307,200,416,708,757 with Prime Factorization
2 | 307, 200, 416, 708, 757 |
2 | 307, 100, 208, 354, 757 |
2 | 307, 50, 104, 177, 757 |
307, 25, 52, 177, 757 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 307 x 25 x 52 x 177 x 757 = 427800079200
Therefore, the lowest common multiple of 307,200,416,708,757 is 427800079200.
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.
307 x 200 x 416 x 708 x 757 = 13689602534400
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.
307 : 1, 307
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,200,416,708,757, is 1.
Now, the common factors can be found like this.
307:307
200:2x 2x 2x 5x 5
416:2x 2x 2x 2x 2x 13
708:2x 2x 3x 59
757:757
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 2 = 32
Therefore, the value for common factors is 32.
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 = 13689602534400/(1x32)
LCM = 13689602534400/32
LCM = 427800079200
Thus, we can understand that the LCM of 307,200,416,708,757 is 427800079200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 307, 200, 416, 708, 757?
Answer: LCM of 307, 200, 416, 708, 757 is 427800079200.
2. How to calculate the LCM of 307, 200, 416, 708, 757?
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 307, 200, 416, 708, 757.
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}.