LCM of 907, 963, 111, 576, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 907, 963, 111, 576, 732 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 907, 963, 111, 576, 732. So, keep reading to learn more.
Given numbers are 907,963,111,576,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,963,111,576,732 is 126166805568.
Find LCM of 907,963,111,576,732 with Prime Factorization
| 2 | 907, 963, 111, 576, 732 |
| 2 | 907, 963, 111, 288, 366 |
| 3 | 907, 963, 111, 144, 183 |
| 3 | 907, 321, 37, 48, 61 |
| 907, 107, 37, 16, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 907 x 107 x 37 x 16 x 61 = 126166805568
Therefore, the lowest common multiple of 907,963,111,576,732 is 126166805568.
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.
907 x 963 x 111 x 576 x 732 = 40878045004032
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.
907 : 1, 907
963 : 1, 3, 9, 107, 321, 963
111 : 1, 3, 37, 111
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,963,111,576,732, is 1.
Now, the common factors can be found like this.
907:907
963:3x 3x 107
111:3x 37
576:2x 2x 2x 2x 2x 2x 3x 3
732:2x 2x 3x 61
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 40878045004032/(1x324)
LCM = 40878045004032/324
LCM = 126166805568
Thus, we can understand that the LCM of 907,963,111,576,732 is 126166805568.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 907, 963, 111, 576, 732
1. What is the LCM of 907, 963, 111, 576, 732?
Answer: LCM of 907, 963, 111, 576, 732 is 126166805568.
2. How to calculate the LCM of 907, 963, 111, 576, 732?
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 907, 963, 111, 576, 732.
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}.