LCM of 993, 905, 931, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 905, 931, 162 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 993, 905, 931, 162. So, keep reading to learn more.
Given numbers are 993,905,931,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,905,931,162 is 45179484210.
Find LCM of 993,905,931,162 with Prime Factorization
| 3 | 993, 905, 931, 162 |
| 331, 905, 931, 54 |
Multiply the prime numbers at the bottom and the left side.
3 x 331 x 905 x 931 x 54 = 45179484210
Therefore, the lowest common multiple of 993,905,931,162 is 45179484210.
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.
993 x 905 x 931 x 162 = 135538452630
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.
993 : 1, 3, 331, 993
905 : 1, 5, 181, 905
931 : 1, 7, 19, 49, 133, 931
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,905,931,162, is 1.
Now, the common factors can be found like this.
993:3x 331
905:5x 181
931:7x 7x 19
162:2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 135538452630/(1x3)
LCM = 135538452630/3
LCM = 45179484210
Thus, we can understand that the LCM of 993,905,931,162 is 45179484210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 905, 931, 162
1. What is the LCM of 993, 905, 931, 162?
Answer: LCM of 993, 905, 931, 162 is 45179484210.
2. How to calculate the LCM of 993, 905, 931, 162?
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 993, 905, 931, 162.
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}.