LCM of 905, 748, 200, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 748, 200, 952 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 905, 748, 200, 952. So, keep reading to learn more.
Given numbers are 905,748,200,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,748,200,952 is 47385800.
Find LCM of 905,748,200,952 with Prime Factorization
| 2 | 905, 748, 200, 952 |
| 2 | 905, 374, 100, 476 |
| 2 | 905, 187, 50, 238 |
| 5 | 905, 187, 25, 119 |
| 17 | 181, 187, 5, 119 |
| 181, 11, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 181 x 11 x 5 x 7 = 47385800
Therefore, the lowest common multiple of 905,748,200,952 is 47385800.
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.
905 x 748 x 200 x 952 = 128889376000
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.
905 : 1, 5, 181, 905
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,748,200,952, is 1.
Now, the common factors can be found like this.
905:5x 181
748:2x 2x 11x 17
200:2x 2x 2x 5x 5
952:2x 2x 2x 7x 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 2x 2x 5x 17 = 2720
Therefore, the value for common factors is 2720.
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 = 128889376000/(1x2720)
LCM = 128889376000/2720
LCM = 47385800
Thus, we can understand that the LCM of 905,748,200,952 is 47385800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 905, 748, 200, 952
1. What is the LCM of 905, 748, 200, 952?
Answer: LCM of 905, 748, 200, 952 is 47385800.
2. How to calculate the LCM of 905, 748, 200, 952?
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 905, 748, 200, 952.
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}.