LCM of 168, 268, 606, 903, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 268, 606, 903, 938 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 168, 268, 606, 903, 938. So, keep reading to learn more.
Given numbers are 168,268,606,903,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,268,606,903,938 is 48884808.
Find LCM of 168,268,606,903,938 with Prime Factorization
| 2 | 168, 268, 606, 903, 938 |
| 2 | 84, 134, 303, 903, 469 |
| 3 | 42, 67, 303, 903, 469 |
| 7 | 14, 67, 101, 301, 469 |
| 67 | 2, 67, 101, 43, 67 |
| 2, 1, 101, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 67 x 2 x 1 x 101 x 43 x 1 = 48884808
Therefore, the lowest common multiple of 168,268,606,903,938 is 48884808.
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.
168 x 268 x 606 x 903 x 938 = 23110390751616
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
268 : 1, 2, 4, 67, 134, 268
606 : 1, 2, 3, 6, 101, 202, 303, 606
903 : 1, 3, 7, 21, 43, 129, 301, 903
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,268,606,903,938, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
268:2x 2x 67
606:2x 3x 101
903:3x 7x 43
938:2x 7x 67
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 2x 3x 3x 7x 7x 67 = 472752
Therefore, the value for common factors is 472752.
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 = 23110390751616/(1x472752)
LCM = 23110390751616/472752
LCM = 48884808
Thus, we can understand that the LCM of 168,268,606,903,938 is 48884808.
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FAQs on LCM of 168, 268, 606, 903, 938
1. What is the LCM of 168, 268, 606, 903, 938?
Answer: LCM of 168, 268, 606, 903, 938 is 48884808.
2. How to calculate the LCM of 168, 268, 606, 903, 938?
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 168, 268, 606, 903, 938.
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}.