LCM of 891, 286, 299, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 286, 299, 107 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 891, 286, 299, 107. So, keep reading to learn more.
Given numbers are 891,286,299,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,286,299,107 is 57011526.
Find LCM of 891,286,299,107 with Prime Factorization
| 11 | 891, 286, 299, 107 |
| 13 | 81, 26, 299, 107 |
| 81, 2, 23, 107 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 81 x 2 x 23 x 107 = 57011526
Therefore, the lowest common multiple of 891,286,299,107 is 57011526.
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.
891 x 286 x 299 x 107 = 8152648218
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
286 : 1, 2, 11, 13, 22, 26, 143, 286
299 : 1, 13, 23, 299
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,286,299,107, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
286:2x 11x 13
299:13x 23
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 8152648218/(1x143)
LCM = 8152648218/143
LCM = 57011526
Thus, we can understand that the LCM of 891,286,299,107 is 57011526.
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FAQs on LCM of 891, 286, 299, 107
1. What is the LCM of 891, 286, 299, 107?
Answer: LCM of 891, 286, 299, 107 is 57011526.
2. How to calculate the LCM of 891, 286, 299, 107?
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 891, 286, 299, 107.
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}.