LCM of 847, 825, 149, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 825, 149, 745 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 847, 825, 149, 745. So, keep reading to learn more.
Given numbers are 847,825,149,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,825,149,745 is 9465225.
Find LCM of 847,825,149,745 with Prime Factorization
| 5 | 847, 825, 149, 745 |
| 11 | 847, 165, 149, 149 |
| 149 | 77, 15, 149, 149 |
| 77, 15, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 149 x 77 x 15 x 1 x 1 = 9465225
Therefore, the lowest common multiple of 847,825,149,745 is 9465225.
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.
847 x 825 x 149 x 745 = 77567518875
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.
847 : 1, 7, 11, 77, 121, 847
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
149 : 1, 149
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,825,149,745, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
825:3x 5x 5x 11
149:149
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 149 = 8195
Therefore, the value for common factors is 8195.
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 = 77567518875/(1x8195)
LCM = 77567518875/8195
LCM = 9465225
Thus, we can understand that the LCM of 847,825,149,745 is 9465225.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 847, 825, 149, 745
1. What is the LCM of 847, 825, 149, 745?
Answer: LCM of 847, 825, 149, 745 is 9465225.
2. How to calculate the LCM of 847, 825, 149, 745?
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 847, 825, 149, 745.
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}.