LCM of 885, 540, 968, 422, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 540, 968, 422, 236 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 885, 540, 968, 422, 236. So, keep reading to learn more.
Given numbers are 885,540,968,422,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,540,968,422,236 is 1626835320.
Find LCM of 885,540,968,422,236 with Prime Factorization
| 2 | 885, 540, 968, 422, 236 |
| 2 | 885, 270, 484, 211, 118 |
| 3 | 885, 135, 242, 211, 59 |
| 5 | 295, 45, 242, 211, 59 |
| 59 | 59, 9, 242, 211, 59 |
| 1, 9, 242, 211, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 59 x 1 x 9 x 242 x 211 x 1 = 1626835320
Therefore, the lowest common multiple of 885,540,968,422,236 is 1626835320.
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.
885 x 540 x 968 x 422 x 236 = 46071976262400
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
422 : 1, 2, 211, 422
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,540,968,422,236, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
540:2x 2x 3x 3x 3x 5
968:2x 2x 2x 11x 11
422:2x 211
236:2x 2x 59
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 2x 3x 5x 59 = 28320
Therefore, the value for common factors is 28320.
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 = 46071976262400/(1x28320)
LCM = 46071976262400/28320
LCM = 1626835320
Thus, we can understand that the LCM of 885,540,968,422,236 is 1626835320.
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FAQs on LCM of 885, 540, 968, 422, 236
1. What is the LCM of 885, 540, 968, 422, 236?
Answer: LCM of 885, 540, 968, 422, 236 is 1626835320.
2. How to calculate the LCM of 885, 540, 968, 422, 236?
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 885, 540, 968, 422, 236.
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}.