LCM of 906, 224, 531, 699, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 224, 531, 699, 376 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 906, 224, 531, 699, 376. So, keep reading to learn more.
Given numbers are 906,224,531,699,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,224,531,699,376 is 196685917344.
Find LCM of 906,224,531,699,376 with Prime Factorization
| 2 | 906, 224, 531, 699, 376 |
| 2 | 453, 112, 531, 699, 188 |
| 2 | 453, 56, 531, 699, 94 |
| 3 | 453, 28, 531, 699, 47 |
| 151, 28, 177, 233, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 151 x 28 x 177 x 233 x 47 = 196685917344
Therefore, the lowest common multiple of 906,224,531,699,376 is 196685917344.
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.
906 x 224 x 531 x 699 x 376 = 28322772097536
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
531 : 1, 3, 9, 59, 177, 531
699 : 1, 3, 233, 699
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,224,531,699,376, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
224:2x 2x 2x 2x 2x 7
531:3x 3x 59
699:3x 233
376:2x 2x 2x 47
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 28322772097536/(1x144)
LCM = 28322772097536/144
LCM = 196685917344
Thus, we can understand that the LCM of 906,224,531,699,376 is 196685917344.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 906, 224, 531, 699, 376
1. What is the LCM of 906, 224, 531, 699, 376?
Answer: LCM of 906, 224, 531, 699, 376 is 196685917344.
2. How to calculate the LCM of 906, 224, 531, 699, 376?
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 906, 224, 531, 699, 376.
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}.