LCM of 138, 282, 447, 987, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 282, 447, 987, 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 138, 282, 447, 987, 993. So, keep reading to learn more.
Given numbers are 138,282,447,987,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,282,447,987,993 is 2239181238.
Find LCM of 138,282,447,987,993 with Prime Factorization
| 2 | 138, 282, 447, 987, 993 |
| 3 | 69, 141, 447, 987, 993 |
| 47 | 23, 47, 149, 329, 331 |
| 23, 1, 149, 7, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 23 x 1 x 149 x 7 x 331 = 2239181238
Therefore, the lowest common multiple of 138,282,447,987,993 is 2239181238.
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.
138 x 282 x 447 x 987 x 993 = 17049125946132
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
282 : 1, 2, 3, 6, 47, 94, 141, 282
447 : 1, 3, 149, 447
987 : 1, 3, 7, 21, 47, 141, 329, 987
993 : 1, 3, 331, 993
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,282,447,987,993, is 3.
Now, the common factors can be found like this.
138:2x 3x 23
282:2x 3x 47
447:3x 149
987:3x 7x 47
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 3x 47 = 2538
Therefore, the value for common factors is 2538.
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 = 17049125946132/(3x2538)
LCM = 17049125946132/7614
LCM = 2239181238
Thus, we can understand that the LCM of 138,282,447,987,993 is 2239181238.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 282, 447, 987, 993
1. What is the LCM of 138, 282, 447, 987, 993?
Answer: LCM of 138, 282, 447, 987, 993 is 2239181238.
2. How to calculate the LCM of 138, 282, 447, 987, 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 138, 282, 447, 987, 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}.