LCM of 668, 954, 939, 954, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 954, 939, 954, 705 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 668, 954, 939, 954, 705. So, keep reading to learn more.
Given numbers are 668,954,939,954,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,954,939,954,705 is 23437270980.
Find LCM of 668,954,939,954,705 with Prime Factorization
| 2 | 668, 954, 939, 954, 705 |
| 3 | 334, 477, 939, 477, 705 |
| 3 | 334, 159, 313, 159, 235 |
| 53 | 334, 53, 313, 53, 235 |
| 334, 1, 313, 1, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 53 x 334 x 1 x 313 x 1 x 235 = 23437270980
Therefore, the lowest common multiple of 668,954,939,954,705 is 23437270980.
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.
668 x 954 x 939 x 954 x 705 = 402464817268560
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.
668 : 1, 2, 4, 167, 334, 668
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
939 : 1, 3, 313, 939
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,954,939,954,705, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
954:2x 3x 3x 53
939:3x 313
954:2x 3x 3x 53
705:3x 5x 47
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 3x 3x 3x 3x 53 = 17172
Therefore, the value for common factors is 17172.
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 = 402464817268560/(1x17172)
LCM = 402464817268560/17172
LCM = 23437270980
Thus, we can understand that the LCM of 668,954,939,954,705 is 23437270980.
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FAQs on LCM of 668, 954, 939, 954, 705
1. What is the LCM of 668, 954, 939, 954, 705?
Answer: LCM of 668, 954, 939, 954, 705 is 23437270980.
2. How to calculate the LCM of 668, 954, 939, 954, 705?
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 668, 954, 939, 954, 705.
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}.