LCM of 894, 728, 149, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 728, 149, 168 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 894, 728, 149, 168. So, keep reading to learn more.
Given numbers are 894,728,149,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,728,149,168 is 325416.
Find LCM of 894,728,149,168 with Prime Factorization
| 2 | 894, 728, 149, 168 |
| 2 | 447, 364, 149, 84 |
| 2 | 447, 182, 149, 42 |
| 3 | 447, 91, 149, 21 |
| 7 | 149, 91, 149, 7 |
| 149 | 149, 13, 149, 1 |
| 1, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 149 x 1 x 13 x 1 x 1 = 325416
Therefore, the lowest common multiple of 894,728,149,168 is 325416.
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.
894 x 728 x 149 x 168 = 16291626624
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
149 : 1, 149
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,728,149,168, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
728:2x 2x 2x 7x 13
149:149
168:2x 2x 2x 3x 7
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 7x 149 = 50064
Therefore, the value for common factors is 50064.
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 = 16291626624/(1x50064)
LCM = 16291626624/50064
LCM = 325416
Thus, we can understand that the LCM of 894,728,149,168 is 325416.
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FAQs on LCM of 894, 728, 149, 168
1. What is the LCM of 894, 728, 149, 168?
Answer: LCM of 894, 728, 149, 168 is 325416.
2. How to calculate the LCM of 894, 728, 149, 168?
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 894, 728, 149, 168.
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}.