LCM of 640, 935, 412, 748, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 640, 935, 412, 748, 892 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 640, 935, 412, 748, 892. So, keep reading to learn more.
Given numbers are 640,935,412,748,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,935,412,748,892 is 2748929920.
Find LCM of 640,935,412,748,892 with Prime Factorization
| 2 | 640, 935, 412, 748, 892 |
| 2 | 320, 935, 206, 374, 446 |
| 5 | 160, 935, 103, 187, 223 |
| 11 | 32, 187, 103, 187, 223 |
| 17 | 32, 17, 103, 17, 223 |
| 32, 1, 103, 1, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 17 x 32 x 1 x 103 x 1 x 223 = 2748929920
Therefore, the lowest common multiple of 640,935,412,748,892 is 2748929920.
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.
640 x 935 x 412 x 748 x 892 = 164495966412800
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
935 : 1, 5, 11, 17, 55, 85, 187, 935
412 : 1, 2, 4, 103, 206, 412
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,935,412,748,892, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
935:5x 11x 17
412:2x 2x 103
748:2x 2x 11x 17
892:2x 2x 223
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 2x 2x 5x 11x 17 = 59840
Therefore, the value for common factors is 59840.
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 = 164495966412800/(1x59840)
LCM = 164495966412800/59840
LCM = 2748929920
Thus, we can understand that the LCM of 640,935,412,748,892 is 2748929920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 640, 935, 412, 748, 892
1. What is the LCM of 640, 935, 412, 748, 892?
Answer: LCM of 640, 935, 412, 748, 892 is 2748929920.
2. How to calculate the LCM of 640, 935, 412, 748, 892?
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 640, 935, 412, 748, 892.
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}.