LCM of 422, 368, 211
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 368, 211 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, 368, 211. So, keep reading to learn more.
Given numbers are 422,368,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,368,211 is 77648.
Find LCM of 422,368,211 with Prime Factorization
| 2 | 422, 368, 211 |
| 211 | 211, 184, 211 |
| 1, 184, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 211 x 1 x 184 x 1 = 77648
Therefore, the lowest common multiple of 422,368,211 is 77648.
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 368 x 211 = 32767456
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
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,368,211, is 1.
Now, the common factors can be found like this.
422:2x 211
368:2x 2x 2x 2x 23
211:211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 211 = 422
Therefore, the value for common factors is 422.
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 = 32767456/(1x422)
LCM = 32767456/422
LCM = 77648
Thus, we can understand that the LCM of 422,368,211 is 77648.
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FAQs on LCM of 422, 368, 211
1. What is the LCM of 422, 368, 211?
Answer: LCM of 422, 368, 211 is 77648.
2. How to calculate the LCM of 422, 368, 211?
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, 368, 211.
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}.