LCM of 664, 978, 904, 332, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 664, 978, 904, 332, 656 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 664, 978, 904, 332, 656. So, keep reading to learn more.
Given numbers are 664,978,904,332,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,978,904,332,656 is 3008633136.
Find LCM of 664,978,904,332,656 with Prime Factorization
| 2 | 664, 978, 904, 332, 656 |
| 2 | 332, 489, 452, 166, 328 |
| 2 | 83, 489, 226, 166, 164 |
| 83 | 83, 489, 113, 83, 82 |
| 1, 489, 113, 1, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 83 x 1 x 489 x 113 x 1 x 82 = 3008633136
Therefore, the lowest common multiple of 664,978,904,332,656 is 3008633136.
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.
664 x 978 x 904 x 332 x 656 = 127854873747456
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
978 : 1, 2, 3, 6, 163, 326, 489, 978
904 : 1, 2, 4, 8, 113, 226, 452, 904
332 : 1, 2, 4, 83, 166, 332
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,978,904,332,656, is 2.
Now, the common factors can be found like this.
664:2x 2x 2x 83
978:2x 3x 163
904:2x 2x 2x 113
332:2x 2x 83
656:2x 2x 2x 2x 41
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 2x 2x 2x 2x 83 = 21248
Therefore, the value for common factors is 21248.
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 = 127854873747456/(2x21248)
LCM = 127854873747456/42496
LCM = 3008633136
Thus, we can understand that the LCM of 664,978,904,332,656 is 3008633136.
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FAQs on LCM of 664, 978, 904, 332, 656
1. What is the LCM of 664, 978, 904, 332, 656?
Answer: LCM of 664, 978, 904, 332, 656 is 3008633136.
2. How to calculate the LCM of 664, 978, 904, 332, 656?
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 664, 978, 904, 332, 656.
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}.