LCM of 888, 526, 968, 785, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 888, 526, 968, 785, 814 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 888, 526, 968, 785, 814. So, keep reading to learn more.
Given numbers are 888,526,968,785,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,526,968,785,814 is 22183176840.
Find LCM of 888,526,968,785,814 with Prime Factorization
| 2 | 888, 526, 968, 785, 814 |
| 2 | 444, 263, 484, 785, 407 |
| 2 | 222, 263, 242, 785, 407 |
| 11 | 111, 263, 121, 785, 407 |
| 37 | 111, 263, 11, 785, 37 |
| 3, 263, 11, 785, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 37 x 3 x 263 x 11 x 785 x 1 = 22183176840
Therefore, the lowest common multiple of 888,526,968,785,814 is 22183176840.
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.
888 x 526 x 968 x 785 x 814 = 288913695164160
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
526 : 1, 2, 263, 526
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
785 : 1, 5, 157, 785
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,526,968,785,814, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
526:2x 263
968:2x 2x 2x 11x 11
785:5x 157
814:2x 11x 37
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 11x 37 = 13024
Therefore, the value for common factors is 13024.
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 = 288913695164160/(1x13024)
LCM = 288913695164160/13024
LCM = 22183176840
Thus, we can understand that the LCM of 888,526,968,785,814 is 22183176840.
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FAQs on LCM of 888, 526, 968, 785, 814
1. What is the LCM of 888, 526, 968, 785, 814?
Answer: LCM of 888, 526, 968, 785, 814 is 22183176840.
2. How to calculate the LCM of 888, 526, 968, 785, 814?
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 888, 526, 968, 785, 814.
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}.