LCM of 222, 682, 403, 930, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 682, 403, 930, 110 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 222, 682, 403, 930, 110. So, keep reading to learn more.
Given numbers are 222,682,403,930,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,682,403,930,110 is 4920630.
Find LCM of 222,682,403,930,110 with Prime Factorization
| 2 | 222, 682, 403, 930, 110 |
| 3 | 111, 341, 403, 465, 55 |
| 5 | 37, 341, 403, 155, 55 |
| 11 | 37, 341, 403, 31, 11 |
| 31 | 37, 31, 403, 31, 1 |
| 37, 1, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 31 x 37 x 1 x 13 x 1 x 1 = 4920630
Therefore, the lowest common multiple of 222,682,403,930,110 is 4920630.
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.
222 x 682 x 403 x 930 x 110 = 6241917567600
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
682 : 1, 2, 11, 22, 31, 62, 341, 682
403 : 1, 13, 31, 403
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,682,403,930,110, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
682:2x 11x 31
403:13x 31
930:2x 3x 5x 31
110:2x 5x 11
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 3x 5x 11x 31x 31 = 1268520
Therefore, the value for common factors is 1268520.
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 = 6241917567600/(1x1268520)
LCM = 6241917567600/1268520
LCM = 4920630
Thus, we can understand that the LCM of 222,682,403,930,110 is 4920630.
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FAQs on LCM of 222, 682, 403, 930, 110
1. What is the LCM of 222, 682, 403, 930, 110?
Answer: LCM of 222, 682, 403, 930, 110 is 4920630.
2. How to calculate the LCM of 222, 682, 403, 930, 110?
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 222, 682, 403, 930, 110.
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}.