LCM of 664, 415, 749, 892, 625
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 664, 415, 749, 892, 625 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 664, 415, 749, 892, 625. So, keep reading to learn more.
Given numbers are 664,415,749,892,625
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,415,749,892,625 is 69316205000.
Find LCM of 664,415,749,892,625 with Prime Factorization
| 2 | 664, 415, 749, 892, 625 |
| 2 | 332, 415, 749, 446, 625 |
| 5 | 166, 415, 749, 223, 625 |
| 83 | 166, 83, 749, 223, 125 |
| 2, 1, 749, 223, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 83 x 2 x 1 x 749 x 223 x 125 = 69316205000
Therefore, the lowest common multiple of 664,415,749,892,625 is 69316205000.
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.
664 x 415 x 749 x 892 x 625 = 115064900300000
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
415 : 1, 5, 83, 415
749 : 1, 7, 107, 749
892 : 1, 2, 4, 223, 446, 892
625 : 1, 5, 25, 125, 625
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,415,749,892,625, is 1.
Now, the common factors can be found like this.
664:2x 2x 2x 83
415:5x 83
749:7x 107
892:2x 2x 223
625:5x 5x 5x 5
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 5x 83 = 1660
Therefore, the value for common factors is 1660.
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 = 115064900300000/(1x1660)
LCM = 115064900300000/1660
LCM = 69316205000
Thus, we can understand that the LCM of 664,415,749,892,625 is 69316205000.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 664, 415, 749, 892, 625
1. What is the LCM of 664, 415, 749, 892, 625?
Answer: LCM of 664, 415, 749, 892, 625 is 69316205000.
2. How to calculate the LCM of 664, 415, 749, 892, 625?
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 664, 415, 749, 892, 625.
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}.