LCM of 605, 656, 166, 913, 907
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 656, 166, 913, 907 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 605, 656, 166, 913, 907. So, keep reading to learn more.
Given numbers are 605,656,166,913,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,656,166,913,907 is 29877523280.
Find LCM of 605,656,166,913,907 with Prime Factorization
| 2 | 605, 656, 166, 913, 907 |
| 11 | 605, 328, 83, 913, 907 |
| 83 | 55, 328, 83, 83, 907 |
| 55, 328, 1, 1, 907 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 83 x 55 x 328 x 1 x 1 x 907 = 29877523280
Therefore, the lowest common multiple of 605,656,166,913,907 is 29877523280.
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.
605 x 656 x 166 x 913 x 907 = 54556357509280
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.
605 : 1, 5, 11, 55, 121, 605
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
166 : 1, 2, 83, 166
913 : 1, 11, 83, 913
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,656,166,913,907, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
656:2x 2x 2x 2x 41
166:2x 83
913:11x 83
907:907
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 83 = 1826
Therefore, the value for common factors is 1826.
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 = 54556357509280/(1x1826)
LCM = 54556357509280/1826
LCM = 29877523280
Thus, we can understand that the LCM of 605,656,166,913,907 is 29877523280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 656, 166, 913, 907
1. What is the LCM of 605, 656, 166, 913, 907?
Answer: LCM of 605, 656, 166, 913, 907 is 29877523280.
2. How to calculate the LCM of 605, 656, 166, 913, 907?
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 605, 656, 166, 913, 907.
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}.