LCM of 656, 574, 456, 949, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 656, 574, 456, 949, 171 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 656, 574, 456, 949, 171. So, keep reading to learn more.
Given numbers are 656,574,456,949,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 656,574,456,949,171 is 745185168.
Find LCM of 656,574,456,949,171 with Prime Factorization
| 2 | 656, 574, 456, 949, 171 |
| 2 | 328, 287, 228, 949, 171 |
| 2 | 164, 287, 114, 949, 171 |
| 3 | 82, 287, 57, 949, 171 |
| 19 | 82, 287, 19, 949, 57 |
| 41 | 82, 287, 1, 949, 3 |
| 2, 7, 1, 949, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 41 x 2 x 7 x 1 x 949 x 3 = 745185168
Therefore, the lowest common multiple of 656,574,456,949,171 is 745185168.
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.
656 x 574 x 456 x 949 x 171 = 27863963801856
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.
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
574 : 1, 2, 7, 14, 41, 82, 287, 574
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
949 : 1, 13, 73, 949
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,574,456,949,171, is 1.
Now, the common factors can be found like this.
656:2x 2x 2x 2x 41
574:2x 7x 41
456:2x 2x 2x 3x 19
949:13x 73
171:3x 3x 19
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 19x 41 = 37392
Therefore, the value for common factors is 37392.
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 = 27863963801856/(1x37392)
LCM = 27863963801856/37392
LCM = 745185168
Thus, we can understand that the LCM of 656,574,456,949,171 is 745185168.
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FAQs on LCM of 656, 574, 456, 949, 171
1. What is the LCM of 656, 574, 456, 949, 171?
Answer: LCM of 656, 574, 456, 949, 171 is 745185168.
2. How to calculate the LCM of 656, 574, 456, 949, 171?
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 656, 574, 456, 949, 171.
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}.