LCM of 687, 252, 108, 667, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 252, 108, 667, 942 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 687, 252, 108, 667, 942. So, keep reading to learn more.
Given numbers are 687,252,108,667,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,252,108,667,942 is 18129372156.
Find LCM of 687,252,108,667,942 with Prime Factorization
| 2 | 687, 252, 108, 667, 942 |
| 2 | 687, 126, 54, 667, 471 |
| 3 | 687, 63, 27, 667, 471 |
| 3 | 229, 21, 9, 667, 157 |
| 229, 7, 3, 667, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 229 x 7 x 3 x 667 x 157 = 18129372156
Therefore, the lowest common multiple of 687,252,108,667,942 is 18129372156.
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.
687 x 252 x 108 x 667 x 942 = 11747833157088
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.
687 : 1, 3, 229, 687
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
667 : 1, 23, 29, 667
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,252,108,667,942, is 1.
Now, the common factors can be found like this.
687:3x 229
252:2x 2x 3x 3x 7
108:2x 2x 3x 3x 3
667:23x 29
942:2x 3x 157
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 3 = 648
Therefore, the value for common factors is 648.
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 = 11747833157088/(1x648)
LCM = 11747833157088/648
LCM = 18129372156
Thus, we can understand that the LCM of 687,252,108,667,942 is 18129372156.
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FAQs on LCM of 687, 252, 108, 667, 942
1. What is the LCM of 687, 252, 108, 667, 942?
Answer: LCM of 687, 252, 108, 667, 942 is 18129372156.
2. How to calculate the LCM of 687, 252, 108, 667, 942?
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 687, 252, 108, 667, 942.
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}.