Find the LCM of 748, 725, 850, 849, 515 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 748, 725, 850, 849, 515. So, keep reading to learn more.
Given numbers are 748,725,850,849,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,725,850,849,515 is 47422508100.
Find LCM of 748,725,850,849,515 with Prime Factorization
2 | 748, 725, 850, 849, 515 |
5 | 374, 725, 425, 849, 515 |
5 | 374, 145, 85, 849, 103 |
17 | 374, 29, 17, 849, 103 |
22, 29, 1, 849, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 17 x 22 x 29 x 1 x 849 x 103 = 47422508100
Therefore, the lowest common multiple of 748,725,850,849,515 is 47422508100.
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.
748 x 725 x 850 x 849 x 515 = 201545659425000
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
725 : 1, 5, 25, 29, 145, 725
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
849 : 1, 3, 283, 849
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,725,850,849,515, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
725:5x 5x 29
850:2x 5x 5x 17
849:3x 283
515:5x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 17 = 4250
Therefore, the value for common factors is 4250.
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 = 201545659425000/(1x4250)
LCM = 201545659425000/4250
LCM = 47422508100
Thus, we can understand that the LCM of 748,725,850,849,515 is 47422508100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 725, 850, 849, 515?
Answer: LCM of 748, 725, 850, 849, 515 is 47422508100.
2. How to calculate the LCM of 748, 725, 850, 849, 515?
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 748, 725, 850, 849, 515.
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}.