LCM of 906, 910, 770, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 910, 770, 481 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 906, 910, 770, 481. So, keep reading to learn more.
Given numbers are 906,910,770,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,910,770,481 is 167777610.
Find LCM of 906,910,770,481 with Prime Factorization
| 2 | 906, 910, 770, 481 |
| 5 | 453, 455, 385, 481 |
| 7 | 453, 91, 77, 481 |
| 13 | 453, 13, 11, 481 |
| 453, 1, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 453 x 1 x 11 x 37 = 167777610
Therefore, the lowest common multiple of 906,910,770,481 is 167777610.
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.
906 x 910 x 770 x 481 = 305355250200
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,910,770,481, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
910:2x 5x 7x 13
770:2x 5x 7x 11
481:13x 37
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 5x 7x 13 = 1820
Therefore, the value for common factors is 1820.
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 = 305355250200/(1x1820)
LCM = 305355250200/1820
LCM = 167777610
Thus, we can understand that the LCM of 906,910,770,481 is 167777610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 910, 770, 481
1. What is the LCM of 906, 910, 770, 481?
Answer: LCM of 906, 910, 770, 481 is 167777610.
2. How to calculate the LCM of 906, 910, 770, 481?
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 906, 910, 770, 481.
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}.