LCM of 218, 110, 656, 770, 773
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 110, 656, 770, 773 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 218, 110, 656, 770, 773. So, keep reading to learn more.
Given numbers are 218,110,656,770,773
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,110,656,770,773 is 21279947920.
Find LCM of 218,110,656,770,773 with Prime Factorization
| 2 | 218, 110, 656, 770, 773 |
| 5 | 109, 55, 328, 385, 773 |
| 11 | 109, 11, 328, 77, 773 |
| 109, 1, 328, 7, 773 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 109 x 1 x 328 x 7 x 773 = 21279947920
Therefore, the lowest common multiple of 218,110,656,770,773 is 21279947920.
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.
218 x 110 x 656 x 770 x 773 = 9363177084800
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.
218 : 1, 2, 109, 218
110 : 1, 2, 5, 10, 11, 22, 55, 110
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
773 : 1, 773
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,110,656,770,773, is 1.
Now, the common factors can be found like this.
218:2x 109
110:2x 5x 11
656:2x 2x 2x 2x 41
770:2x 5x 7x 11
773:773
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 9363177084800/(1x440)
LCM = 9363177084800/440
LCM = 21279947920
Thus, we can understand that the LCM of 218,110,656,770,773 is 21279947920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 110, 656, 770, 773
1. What is the LCM of 218, 110, 656, 770, 773?
Answer: LCM of 218, 110, 656, 770, 773 is 21279947920.
2. How to calculate the LCM of 218, 110, 656, 770, 773?
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 218, 110, 656, 770, 773.
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}.