LCM of 282, 333, 770, 331, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 333, 770, 331, 993 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 282, 333, 770, 331, 993. So, keep reading to learn more.
Given numbers are 282,333,770,331,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,333,770,331,993 is 3988970370.
Find LCM of 282,333,770,331,993 with Prime Factorization
| 2 | 282, 333, 770, 331, 993 |
| 3 | 141, 333, 385, 331, 993 |
| 331 | 47, 111, 385, 331, 331 |
| 47, 111, 385, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 47 x 111 x 385 x 1 x 1 = 3988970370
Therefore, the lowest common multiple of 282,333,770,331,993 is 3988970370.
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.
282 x 333 x 770 x 331 x 993 = 23766285464460
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
333 : 1, 3, 9, 37, 111, 333
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
331 : 1, 331
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,333,770,331,993, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
333:3x 3x 37
770:2x 5x 7x 11
331:331
993:3x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 331 = 5958
Therefore, the value for common factors is 5958.
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 = 23766285464460/(1x5958)
LCM = 23766285464460/5958
LCM = 3988970370
Thus, we can understand that the LCM of 282,333,770,331,993 is 3988970370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 282, 333, 770, 331, 993
1. What is the LCM of 282, 333, 770, 331, 993?
Answer: LCM of 282, 333, 770, 331, 993 is 3988970370.
2. How to calculate the LCM of 282, 333, 770, 331, 993?
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 282, 333, 770, 331, 993.
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}.