LCM of 906, 398, 738, 517, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 398, 738, 517, 600 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, 398, 738, 517, 600. So, keep reading to learn more.
Given numbers are 906,398,738,517,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,398,738,517,600 is 1146507575400.
Find LCM of 906,398,738,517,600 with Prime Factorization
| 2 | 906, 398, 738, 517, 600 |
| 3 | 453, 199, 369, 517, 300 |
| 151, 199, 123, 517, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 199 x 123 x 517 x 100 = 1146507575400
Therefore, the lowest common multiple of 906,398,738,517,600 is 1146507575400.
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 398 x 738 x 517 x 600 = 82548545428800
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
398 : 1, 2, 199, 398
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
517 : 1, 11, 47, 517
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,398,738,517,600, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
398:2x 199
738:2x 3x 3x 41
517:11x 47
600:2x 2x 2x 3x 5x 5
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 3 = 72
Therefore, the value for common factors is 72.
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 = 82548545428800/(1x72)
LCM = 82548545428800/72
LCM = 1146507575400
Thus, we can understand that the LCM of 906,398,738,517,600 is 1146507575400.
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, 398, 738, 517, 600
1. What is the LCM of 906, 398, 738, 517, 600?
Answer: LCM of 906, 398, 738, 517, 600 is 1146507575400.
2. How to calculate the LCM of 906, 398, 738, 517, 600?
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, 398, 738, 517, 600.
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}.