LCM of 970, 825, 800, 905, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 825, 800, 905, 474 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 970, 825, 800, 905, 474. So, keep reading to learn more.
Given numbers are 970,825,800,905,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,825,800,905,474 is 36616879200.
Find LCM of 970,825,800,905,474 with Prime Factorization
| 2 | 970, 825, 800, 905, 474 |
| 3 | 485, 825, 400, 905, 237 |
| 5 | 485, 275, 400, 905, 79 |
| 5 | 97, 55, 80, 181, 79 |
| 97, 11, 16, 181, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 97 x 11 x 16 x 181 x 79 = 36616879200
Therefore, the lowest common multiple of 970,825,800,905,474 is 36616879200.
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.
970 x 825 x 800 x 905 x 474 = 274626594000000
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
905 : 1, 5, 181, 905
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,825,800,905,474, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
825:3x 5x 5x 11
800:2x 2x 2x 2x 2x 5x 5
905:5x 181
474:2x 3x 79
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 5x 5x 5x 5 = 7500
Therefore, the value for common factors is 7500.
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 = 274626594000000/(1x7500)
LCM = 274626594000000/7500
LCM = 36616879200
Thus, we can understand that the LCM of 970,825,800,905,474 is 36616879200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 970, 825, 800, 905, 474
1. What is the LCM of 970, 825, 800, 905, 474?
Answer: LCM of 970, 825, 800, 905, 474 is 36616879200.
2. How to calculate the LCM of 970, 825, 800, 905, 474?
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 970, 825, 800, 905, 474.
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}.