LCM of 991, 732, 600, 610, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 732, 600, 610, 867 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 991, 732, 600, 610, 867. So, keep reading to learn more.
Given numbers are 991,732,600,610,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,732,600,610,867 is 10482203400.
Find LCM of 991,732,600,610,867 with Prime Factorization
| 2 | 991, 732, 600, 610, 867 |
| 2 | 991, 366, 300, 305, 867 |
| 3 | 991, 183, 150, 305, 867 |
| 5 | 991, 61, 50, 305, 289 |
| 61 | 991, 61, 10, 61, 289 |
| 991, 1, 10, 1, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 61 x 991 x 1 x 10 x 1 x 289 = 10482203400
Therefore, the lowest common multiple of 991,732,600,610,867 is 10482203400.
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.
991 x 732 x 600 x 610 x 867 = 230189186664000
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.
991 : 1, 991
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
610 : 1, 2, 5, 10, 61, 122, 305, 610
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,732,600,610,867, is 1.
Now, the common factors can be found like this.
991:991
732:2x 2x 3x 61
600:2x 2x 2x 3x 5x 5
610:2x 5x 61
867:3x 17x 17
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 3x 3x 5x 61 = 21960
Therefore, the value for common factors is 21960.
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 = 230189186664000/(1x21960)
LCM = 230189186664000/21960
LCM = 10482203400
Thus, we can understand that the LCM of 991,732,600,610,867 is 10482203400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 991, 732, 600, 610, 867
1. What is the LCM of 991, 732, 600, 610, 867?
Answer: LCM of 991, 732, 600, 610, 867 is 10482203400.
2. How to calculate the LCM of 991, 732, 600, 610, 867?
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 991, 732, 600, 610, 867.
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}.