LCM of 422, 890, 220, 627, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 890, 220, 627, 992 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 422, 890, 220, 627, 992. So, keep reading to learn more.
Given numbers are 422,890,220,627,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,890,220,627,992 is 58401187680.
Find LCM of 422,890,220,627,992 with Prime Factorization
| 2 | 422, 890, 220, 627, 992 |
| 2 | 211, 445, 110, 627, 496 |
| 5 | 211, 445, 55, 627, 248 |
| 11 | 211, 89, 11, 627, 248 |
| 211, 89, 1, 57, 248 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 211 x 89 x 1 x 57 x 248 = 58401187680
Therefore, the lowest common multiple of 422,890,220,627,992 is 58401187680.
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.
422 x 890 x 220 x 627 x 992 = 51393045158400
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.
422 : 1, 2, 211, 422
890 : 1, 2, 5, 10, 89, 178, 445, 890
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
627 : 1, 3, 11, 19, 33, 57, 209, 627
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,890,220,627,992, is 1.
Now, the common factors can be found like this.
422:2x 211
890:2x 5x 89
220:2x 2x 5x 11
627:3x 11x 19
992:2x 2x 2x 2x 2x 31
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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 51393045158400/(1x880)
LCM = 51393045158400/880
LCM = 58401187680
Thus, we can understand that the LCM of 422,890,220,627,992 is 58401187680.
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FAQs on LCM of 422, 890, 220, 627, 992
1. What is the LCM of 422, 890, 220, 627, 992?
Answer: LCM of 422, 890, 220, 627, 992 is 58401187680.
2. How to calculate the LCM of 422, 890, 220, 627, 992?
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 422, 890, 220, 627, 992.
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}.