LCM of 894, 606, 516, 234, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 606, 516, 234, 481 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, 606, 516, 234, 481. So, keep reading to learn more.
Given numbers are 894,606,516,234,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,606,516,234,481 is 11205304812.
Find LCM of 894,606,516,234,481 with Prime Factorization
| 2 | 894, 606, 516, 234, 481 |
| 3 | 447, 303, 258, 117, 481 |
| 13 | 149, 101, 86, 39, 481 |
| 149, 101, 86, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 149 x 101 x 86 x 3 x 37 = 11205304812
Therefore, the lowest common multiple of 894,606,516,234,481 is 11205304812.
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 606 x 516 x 234 x 481 = 31464495912096
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
606 : 1, 2, 3, 6, 101, 202, 303, 606
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,606,516,234,481, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
606:2x 3x 101
516:2x 2x 3x 43
234:2x 3x 3x 13
481:13x 37
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 3x 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 31464495912096/(1x2808)
LCM = 31464495912096/2808
LCM = 11205304812
Thus, we can understand that the LCM of 894,606,516,234,481 is 11205304812.
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FAQs on LCM of 894, 606, 516, 234, 481
1. What is the LCM of 894, 606, 516, 234, 481?
Answer: LCM of 894, 606, 516, 234, 481 is 11205304812.
2. How to calculate the LCM of 894, 606, 516, 234, 481?
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, 606, 516, 234, 481.
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}.